DOI10.4153/CJM-1950-012-1zbMath0036.14104OpenAlexW1978652497WikidataQ55953641 ScholiaQ55953641MaRDI QIDQ5794214
P. A. M. Dirac
Publication date: 1950
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1950-012-1
Poisson algebras in reduction of symmetries,
A gauge-independent canonical formalism for the Dirac-Maxwell theory,
Hamiltonian, path integral and BRST formulations of the vector Schwinger model with a photon mass term with Faddeevian regularization,
Hamiltonian dynamics and gauge symmetry for three-dimensional Palatini theory with cosmological constant,
Integrable deformations of strings on symmetric spaces,
Submanifolds in the thermodynamic phase space,
Generalized spherically symmetric gravitational model: Hamiltonian dynamics in extended phase space and the BRST charge,
Point particle with extrinsic curvature as a boundary of a Nambu-Goto string: classical and quantum model,
Hamiltonian systems with constraints and their meaning in mechanics,
A numerical algorithm for singular optimal LQ control systems,
A longitudinal gauge degree of freedom and the Pais Uhlenbeck field,
Cawley's counterexample to Dirac's conjecture as a curved spacetime,
A differential algebraic approach to mechanics with perfect nonholonomic constraints,
Brownian motion on a manifold,
Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems,
Dirac structures in Lagrangian mechanics. II: Variational structures,
Canonical path-integral quantization of Yang-Mills field theory with arbitrary external sources,
Geometric study of the connection between the Lagrangian and Hamiltonian constraints,
Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory,
Measure in the functional integral over the configuration space,
Physical degrees of freedom of non-local theories,
Hamiltonian structure of the Kadomtsev-Petviashvili. II: Equation in the class of decreasing Cauchy data,
Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a cosmological constant and stiff matter,
The quantization of higher order regular Lagrangians as first order singular Lagrangians,
Hamiltonization and integrability of the Chaplygin sphere in \(\mathbb R^{n}\),
Darboux coordinates for the Hamiltonian of first order Einstein-Cartan gravity,
Hamiltonian formulation of the modified Hasegawa-Mima equation,
Some dynamical properties of Einstein space-times admitting a Gaussian foliation,
Singular densities, test particles and generalized Hamiltonian systems in general relativity,
On the Hamiltonian content of biodynamics,
Not-quite-Hamiltonian reduction,
Dirac reduction for Poisson vertex algebras,
Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability,
General relativity as a generalized Hamiltonian system,
Dirac-bracket structure in multidimensional mode conversion,
Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation,
Hamiltonian systems with constraints: a geometric approach,
On Dirac's incomplete analysis of gauge transformations,
Remarks on gauge invariance and first-class constraints,
Electromagnetic interaction of composite particles in a higher-derivative nonrelativistic gauge field model,
Canonical quantization of higher-order Lagrangians,
Gauge-invariant counterparts and quantization of systems under holonomic constraints,
An extension of the Dirac theory of constraints,
Léon Rosenfeld and the challenge of the vanishing momentum in quantum electrodynamics,
Hamiltonization of the generalized Veselova LR system,
Extending Newton's law from nonlocal-in-time kinetic energy,
Gauge symmetry and W-algebra in higher derivative systems,
General relativity at Syracuse in the mid-fifties,
Generalized Noether theorems and applications,
Dirac reduction for nonholonomic mechanical systems and semidirect products,
Variational and geometric structures of discrete Dirac mechanics,
On the Poisson algebra of a singular map,
On canonical transformations of gravitational variables in extended phase space,
Formulation of quantum mechanics with dynamical time,
Hamilton's principle, covariant Hamiltonian, and canonical formalism in four and five dimensions,
Light-front BRST quantization of the vector Schwinger model with a photon mass term,
Hamilton's equations for constrained dynamical systems,
Singular semi-Riemannian geometry,
Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures,
Faddeev-Jackiw quantization method in conformal three-dimensional supergravity,
Fermat's principle in elastodynamics,
The normal form theorem around Poisson transversals,
Characteristic classes of star products on Marsden-Weinstein reduced symplectic manifolds,
Incomplete Dirac reduction of constrained Hamiltonian systems,
Canonical quantization theory of general singular QED system of Fermi field interaction with generally decomposed gauge potential,
Hamiltonian formulation of one-chain and two-chain systems,
On Hamiltonian formulations of the Schrödinger system,
Partial Hamiltonian reduction of relativistic extended objects in light-cone gauge,
Symmetry reduction in symplectic and Poisson geometry,
Quantization in classical mechanics and its relation to the Bohmian \(\Psi \)-field,
Faddeev-Jackiw and the improved methods in quantization of the superconductive system,
Special symplectic spaces,
Variational water-wave model with accurate dispersion and vertical vorticity,
Symmetries and dynamics in constrained systems,
On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection,
Massive rigid string model and its supersymmetric extension,
Diffeomorphism invariance in the Hamiltonian formulation of General Relativity,
Jordan algebra and field theory,
Dirac algebroids in Lagrangian and Hamiltonian mechanics,
The quantum theory of second class constraints: Kinematics,
Reducible second-class constraints of order L: An irreducible approach,
Towards a general solution of the Hamiltonian constraints of general relativity,
Quantum geometrodynamics creates new problems,
Quantum field formalism for the electromagnetic interaction of composite particles in a nonrelativistic gauge model. III,
Hamilton formulation for continuous systems with second order derivatives,
Total Hamiltonian and extended Hamiltonian for constrained Hamilton systems,
Classical \(\mathcal{W}\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents,
Networks of Hamiltonian systems and feedback,
Application of Wu elimination method to constrained dynamics,
Quantum geometrodynamics: whence, whither?,
On symmetry analysis of differential systems on functional manifolds,
A model of quantum gravity with emergent spacetime,
Reduction and quantization for singular momentum mappings,
Structures symplectiques singulières génériques,
Canonical variables for the Dirac theory,
Singular mechanics and Landau two-fluid model of superfluidity,
Algebraic quantization of systems with gauge degeneracy,
Spacetime locality of the BRST formalism,
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality,
Geometric quantization and constraints in field theory,
Canonical path integral quantization of Einstein's gravitational field,
The Dirac bracket,
Linear port-Hamiltonian descriptor systems,
Submanifold geometry,
Reduction of quantum systems and the local Gauss law,
Lessons from \(O(N)\) models in one dimension,
Propagation of extremely short pulses in nonresonant media: the total Maxwell--Duffing model,
Hamiltonian and Lagrangian BRST quantization in Riemann manifold,
General conversion method for constrained systems,
An unconstrained Hamiltonian formulation for incompressible fluid flow,
Noether's second theorem and Ward identities for gauge symmetries,
Deformation and Hochschild cohomology of coisotropic algebras,
Gauge invariant propagators and states in quantum electrodynamics,
Fermi substructure of space-time,
Early universe with modified scalar-tensor theory of gravity,
BFV quantization and BRST symmetries of the gauge invariant fourth-order Pais-Uhlenbeck oscillator,
Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions,
Dynamics of the sit-to-stand movement,
A new method for the construction of integrable Hamiltonian systems,
Phase space geometry of constrained systems,
String dynamics in the \(D=4\) space-time. I: Hamiltonian formalism,
Higher derivatives in gauge transformations,
Gauge transformations in constrained theories,
An impetus-striction simulation of the dynamics of an elastica,
Yang-Mills fields with external current,
Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework,
On constrained analysis and diffeomorphism invariance of generalised Proca theories,
Nonlinear sigma model in the Faddeev-Jackiw quantization formalism,
On the Hamiltonian formulation of incompressible ideal fluids and magnetohydrodynamics via Dirac's theory of constraints,
Tracing KAM tori in presymplectic dynamical systems,
Computer algebra and field theories,
Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations,
Singular Lagrangians in supermechanics.,
Classical \(O(N)\) nonlinear sigma model on the half line: a study on consistent Hamiltonian description,
Field space entanglement entropy, zero modes and Lifshitz models,
A path-integral approach to the problem of time,
Non-linear realizations, Goldstone bosons of broken Lorentz rotations and effective actions for p-branes,
Consistent and inconsistent truncations. Some results and the issue of the correct uplifting of solutions,
Dirac-Bergmann procedure having regard to interaction for light-front Yukawa model,
Probing early universe with a generalized action,
On the \(r\)-matrix interpretation of Bogoyavlensky lattices,
The reduced phase space of Palatini-Cartan-Holst theory,
Whiskered tori for presymplectic dynamical systems,
Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame,
Towards Drinfeld-Sokolov reduction for quantum groups,
Generalized variational calculus for continuous and discrete mechanical systems,
The influence of corrugations on spin polarization in magnetic field,
Constraints in the variational principle for stationary states,
Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe,
Statistical mechanics of covariant systems with multi-fingered time,
Role of a time delay in the gravitational two-body problem,
Variational principles for conformal geodesics,
Quantum lattice gauge fields and groupoid \(\mathrm{C}^{\ast}\)-algebras,
Wiggly strings of radial configuration in Kerr-Newman black hole,
The dynamics of systems with rolling and gyroscopic systems with small generalized velocities and the realization of constraints,
Constraint analysis of two-dimensional quadratic gravity from \textit{BF} theory,
Hamiltonian and path integral formulations of the Nambu-Goto D1-brane action with and without a dilaton field under gauge-fixing,
Why gauge?,
On Nambu's generalized Hamiltonian mechanics,
Quantum gravity in \(2+1\) dimensions: the case of a closed universe,
The mechanics of an affinely-rigid body,
Classification of primary constraints of quadratic non-metricity theories of gravity,
Exotic massive 3D gravity,
Classical formalisms and quantization,
Covariant phase space and soft factorization in non-abelian gauge theories,
On p-form gauge theories and their conformal limits,
\(R^2\) corrected \(\mathrm{AdS}_2\) holography,
Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems,
Quantum corrections to slow-roll inflation: scalar and tensor modes,
Precision nuclear-spin effects in atoms: EFT methods for reducing theory errors,
Poincaré canonical momenta and Nambu mechanics,
Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity,
Increase in entropy and time irreversibility in Hamiltonian dynamics,
Poisson algebras and transverse structures,
Reduction and regularization of the Kepler problem,
Ostrogradski's theorem for higher-order singular Lagrangians,
The Atiyah-Hitchin bracket and the open Toda lattice.,
Conflict between some higher-order curvature invariant terms,
Sections of Hamiltonian systems,
Practical scheme of reduction to gauge-invariant variables,
Supersymmetric anyons in the Faddeev-Jackiw quantization picture,
Proof of character-valued index theorems,
Distinguished role of Senjanovic measure in a path integral quantization of constrained systems,
Lagrangian and Hamiltonian constraints,
Towards quantum computing based community detection,
Complex invariants for some time-independent and time-dependent classical systems,
A string model of ``exotic particles, Reducible systems and embedding procedures in the canonical formalism, The configuration space of low-dimensional Yang-Mills theories., The generalized chiral Schwinger model on the two-sphere, Dynamics of a circular cylinder and two point vortices in a perfect fluid, Hamiltonian and Lagrangian BRST quantization in Riemann manifold. II, Clebsch canonization of Lie-Poisson systems, Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim gravity, Examples of the Dirac approach to dynamics of systems with constraints, Covariant linear response theory of relativistic QED plasmas, Conformally gauge-fixed Polyakov D\(_1\)-brane action in the presence of a 2-form gauge field: The instant-form and front-form Hamiltonian and path integral formulations, The gauge group in the real triad formulation of general relativity, Constraints in the BV formalism: six-dimensional supersymmetry and its twists, On a new generalized local fractal derivative operator, Faddeev-Jackiw quantization of non-autonomous singular systems, Dirac and Lagrangian reductions in the canonical approach to the first-order form of the Einstein-Hilbert action, Nonholonomic motions of gyroscopic and wheeled systems, The Feynman integral for singular Lagrangians, FLRW metric \(f(R)\) cosmology with a perfect fluid by generating integrals of motion, Objective energy-momentum conserving integration for the constrained dynamics of geometrically exact beams, Polite Actions of Non-compact Lie Groups, THE ANYON MODEL: AN EXAMPLE INSPIRED BY STRING THEORY, WIGGLY STRINGS OF RADIAL CONFIGURATION IN THE SCHWARZSCHILD AND REISSNER–NORDSTRÖM BLACK HOLES, IMPROVED CANONICAL QUANTIZATION METHOD OF SPINOR ELECTRODYNAMICS WITH SINGULAR LAGRANGIAN, TIME BOUNDARY TERMS AND DIRAC CONSTRAINTS, NONTRIVIAL GHOSTS AND SECOND-CLASS CONSTRAINTS, Hamiltonian and path integral quantization of the conformally gauge-fixed Polyakov D1 brane action in the presence of a scalar dilation field, Generalized canonical Ward identities, On verification of the non-generational conjectural-derivation of first class constraints: HP monopole's field case, Valid for much of ``realistic fields: A non-generational conjecture for deriving all first-class constraints at once,
BV and BFV for the H-twisted Poisson sigma model,
Quantization of dynamical symplectic reduction,
Unnamed Item,
Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q,
Finite BRST–BFV transformations for dynamical systems with second-class constraints,
Local diffeomorphisms in symplectic space and Hamiltonian systems with constraints,
VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM: GAUGE-INVARIANT REFORMULATION, OPERATOR SOLUTIONS AND HAMILTONIAN AND PATH INTEGRAL FORMULATIONS,
GAUGE-INVARIANT REFORMULATION OF THE VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM AND ITS HAMILTONIAN, PATH INTEGRAL AND BRST FORMULATIONS,
CANONICAL FORMULATION OF A BOSONIC MATTER FIELD IN (1 + 1)-DIMENSIONAL CURVED SPACE,
SPACE SYMMETRIES AND QUANTUM BEHAVIOR OF FINITE ENERGY CONFIGURATIONS IN SU(2)-GAUGE THEORY,
Two body relativistic wave equations,
Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory,
Quantization: Deformation and/or functor?,
Three denials of time in the interpretation of canonical gravity,
Non-standard fractional Lagrangians,
Hamiltonian formalism for nonlinear Schrödinger equations,
Realizing constraints in the dynamics of systems with rolling,
Enhancing Gauge Symmetries Via the Symplectic Embedding Approach,
Canonical formulation of Pais–Uhlenbeck action and resolving the issue of branched Hamiltonian,
Gravitomagnetism and non-commutative geometry,
HAMILTONIAN ANALYSIS OF POINCARÉ GAUGE THEORY SCALAR MODES,
Gauge fixing and classical dynamical \(r\)-matrices in \(\mathrm{ISO}(2, 1)\)-Chern-Simons theory,
NOTE ON THE DYNAMICS OF A PSEUDO-CLASSICAL SPINNING PARTICLE,
ON THE "UNIVERSAL" N=2 SUPERSYMMETRY OF CLASSICAL MECHANICS,
FIRST-CLASS APPROACHES TO MASSIVE 2-FORMS,
Horizons, constraints, and black hole entropy,
Light-front Hamiltonian, path integral and BRST formulations of the Nielsen-Olesen (Bogomol'nyi) model in the light-cone gauges,
Quantum field formalism for the electromagnetic interaction of composite particles in a nonrelativistic gauge model. II,
Canonical formulation of spin in general relativity,
Canonical Noether symmetries and commutativity properties for gauge systems,
Hamiltonian quantum dynamics with separability constraints,
The second-order problem for \(k\)-presymplectic Lagrangian field theories: application to the Einstein-Palatini model,
Analytical mechanics allows novel vistas on mathematical epidemic dynamics modeling,
FADDEEV–POPOV GHOSTS,
Dirac-Lie systems and Schwarzian equations,
Unnamed Item,
The global extension problem, crossed products and co-flag non-commutative Poisson algebras,
LAGRANGIAN NOETHER SYMMETRIES AS CANONICAL TRANSFORMATIONS,
Gupta–Bleuler quantization of free massless Lagrangian gauge fields of arbitrary helicity: The bosonic case,
Discontinuous trajectories of Lagrangian systems with singular hypersurface,
Degenerate dynamical systems,
Hamilton-Jacobi formulation of Green-Schwarz superstring,
ELIMINATION OF THE FIELD DEGREES OF FREEDOM IN RELATIVISTIC SYSTEM OF POINTLIKE CHARGES,
Hamilton-Jacobi quantization of singular Lagrangians with linear velocities,
Dirac quantization of 't Hooft-Polyakov monopole field: axial Hamiltonization,
Degenerate Hamiltonian operator in higher-order canonical gravity -- the problem and a remedy,
BV-BFV approach to general relativity: Einstein-Hilbert action,
TOPOLOGICALLY MASSIVE ELECTROMAGNETIC INTERACTION OF COMPOSITE PARTICLES IN A HIGHER-DERIVATIVE NONRELATIVISTIC GAUGE FIELD MODEL,
Tensor products of Dirac structures and interconnection in Lagrangian mechanics,
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems,
Symplectic singularities and solvable Hamiltonian mappings,
HAMILTON–JACOBI TREATMENT OF CONSTRAINED SYSTEMS,
P.A.M. Dirac and the Development of Modern General Relativity,
Unnamed Item,
Morse families and Dirac systems,
Wave function of the universe, path integrals and gauge invariance,
Path integral quantization of singular Lagrangians using fractional derivatives,
SUPERSYMMETRIC BAROTROPIC FRW MODEL AND DARK ENERGY,
COMMENTS ON THE TETRAD (VIELBEINS),
The Border Between Relativity and Quantum Theory,
Langevin dynamics with constraints and computation of free energy differences,
DIRECT HAMILTONIZATION — GENERALIZATION OF AN ALTERNATIVE HAMILTONIZATION,
Coisotropic triples, reduction and classical limit,
A functional approach to soft graviton scattering and BMS charges,
Probing features of the Lee-Wick quantum electrodynamics,
Hamilton-Jacobi wave theory in manifestly-covariant classical and quantum gravity,
Hamiltonian and path integral formulations of the Born-Infeld Nambu-Goto D1-brane action with and without a dilation field under gauge-fixing,
Stable Underlying Equations for Constrained Hamiltonian Systems,
Geometric reduction of Hamiltonian systems,
WIGGLY STRING SOLUTIONS IN KERR–NEWMAN BLACK HOLE,
WIGGLY STRINGS OF RADIAL CONFIGURATION IN THE KERR BLACK HOLE,
Dirac structures in nonequilibrium thermodynamics,
UNDERLYING GAUGE SYMMETRIES OF SECOND-CLASS CONSTRAINTS SYSTEMS,
Hamilton–Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints,
Fundamental algebra for quantum mechanics on S D and gauge potentials,
Multipolar expansions for closed and open systems of relativistic particles,
Covariant equilibrium statistical mechanics,
Non-Grassmann mechanical model of the Dirac equation,
THE MANY FACES OF THE MASSLESS TENSOR GAUGE FIELD OF DEGREE TWO,
Singularities of functions on the Martinet plane, constrained Hamiltonian systems and singular Lagrangians,
Hamilton-Dirac systems for charged particles in gauge fields,
Dirac structures in vakonomic mechanics,
Maxwell-Lorentz electrodynamics revisited via the Lagrangian formalism and Feynman proper time paradigm,
Composite particles within the Faddeev–Jackiw framework: Nonequivalence between the Dirac and Faddeev–Jackiw formalisms,
REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY,
Reduction of the super phase space for a massless Dirac particle,
LOCAL SYMMETRIES AND THE NOETHER IDENTITIES IN THE HAMILTONIAN FRAMEWORK,
A mechanical model with constraints,
Two-dimensional supersymmetric harmonic oscillator carrying a representation of the GL(2|1) graded Lie algebra,
RIGID AND GAUGE NOETHER SYMMETRIES FOR CONSTRAINED SYSTEMS,
The Maxwell–Vlasov equations in Euler–Poincaré form,
HILBERT SPACE OF ISOMORPHIC REPRESENTATIONS OF BOSONIZED CHIRAL QCD2,
LAGRANGIAN APPROACH TO LOCAL SYMMETRIES AND SELF-DUAL MODEL IN GAUGE INVARIANT FORMULATION,
Generating infinitesimal transformations with second-order-infinitesimal accuracy for proving covariance of commutation relations under finite transformations,
On the covariance of Dirac’s modified canonical commutation relations for fermions interacting with gravity and bosons,
THE HUBBARD OPERATORS AND THE SLAVE-PARTICLES PATH-INTEGRAL REPRESENTATIONS DESCRIBING THE t-J MODEL,
CONSTRUCTION OF LAGRANGIAN LOCAL SYMMETRIES FOR GENERAL QUADRATIC THEORY,
GAUGE FIXING IN THE CHAIN-BY-CHAIN METHOD,
Canonical transformations theory for presymplectic systems,
AN EXTENDED ABELIAN CHERN–SIMONS MODEL AND THE SYMPLECTIC PROJECTOR METHOD,
Towards non-perturbative quantization and the mass gap problem for the Yang–Mills field,
Symplectic quantization with higher derivatives,
QUANTIZATION OF SINGULAR SYSTEMS WITH SECOND-ORDER LAGRANGIANS,
Blow-up regularization of singular Lagrangians,
Geometry of quantum dynamics in infinite-dimensional Hilbert space,
Unnamed Item,
Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form,
Algebraic structure of degenerate systems,
Dirac and reduced quantization: A Lagrangian approach and application to coset spaces,
On a Poisson homogeneous space of bilinear forms with a Poisson-Lie action,
Manifestly covariant quantum electrodynamics without unphysical photons,
Superstrings with tensor degrees of freedom,
Constrained analysis of topologically massive gravity,
Symplectic analysis of a Dirac constrained theory,
Unnamed Item,
On quantum-mechanical equations of motion in representation dependent of external sources,
Superintegrable relativistic systems in spacetime-dependent background fields,
Quadratic conservation laws for equations of mathematical physics,
A Hamilton–Jacobi theory for implicit differential systems,
Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation,
Emergent gauge dynamics of highly frustrated magnets,
On the construction of Hamiltonians,
A BRST formulation for the conic constrained particle,
Unnamed Item,
Semigeostrophic theory as a Dirac-bracket projection,
GROUPOID SYMMETRY AND CONSTRAINTS IN GENERAL RELATIVITY,
Quantum mechanics on homogeneous spaces,
FADDEEV–JACKIW FORMALISM FOR CONSTRAINED SYSTEMS WITH GRASSMANN DYNAMICAL FIELD VARIABLES,
The role of cosmological constant in f(R, G) gravity,
SECOND-ORDER LAGRANGIAN DYNAMICS IN THE PHASE-SPACE: SOME EXAMPLES,
Canonical analysis of field theories in the presence of boundaries: Maxwell + Pontryagin,
LIGHT-FRONT HAMILTONIAN AND PATH INTEGRAL QUANTIZATION OF VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM,
Jacobi’s principle for the case of time-varying Hamiltonian,
BRST deformations and stability in the higher derivative Chern–Simons gauge theory,
Constraint algebra in tetrad bigravity,
Crossing the phantom divide line as an effect of quantum transitions,
Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity,
Quantum cosmology in f(Q) theory,
VARIATIONAL PROBLEM FOR THE FRENKEL AND THE BARGMANN–MICHEL–TELEGDI (BMT) EQUATIONS,
GEOMETRIC MOMENTUM IN THE MONGE PARAMETRIZATION OF TWO-DIMENSIONAL SPHERE,
THE CANONICAL STRUCTURE OF THE FIRST-ORDER EINSTEIN–HILBERT ACTION,
OPEN STRING IN (3+1)-DIMENSIONAL REISSNER–NORDSTRÖM BLACK HOLE,
Port-Hamiltonian Differential-Algebraic Systems,
Dirac Structures and the Legendre Transformation for Implicit Lagrangian and Hamiltonian Systems,
SYMPLECTIC MATRIX, GAUGE INVARIANCE AND DIRAC BRACKETS FOR SUPER-QED,
Unnamed Item,
Dirac–Bergmann constraints in physics: Singular Lagrangians, Hamiltonian constraints and the second Noether theorem,
Is the Wheeler–DeWitt equation more fundamental than the Schrödinger equation?,
On the meaning of the wave function of the Universe,
GAUGE SYMMETRIES OF SYSTEMS WITH A FINITE NUMBER OF DEGREES OF FREEDOM,
Two-form gauge fields in the Becchi–Rouet–Stora–Tyutin superspace,
Functional versus canonical quantization of a nonlocal massive vector-gauge theory,
Faddeev–Jackiw approach of noncommutative space–time electromagnetic theories,
Black Hole Thermodynamics and Statistical Mechanics,
Unnamed Item,
A phase space approach to generalized Hamilton–Jacobi theory,
Treatment of higher-order Lagrangians via the construction of dynamically equivalent first-order Lagrangians,
QUANTIZATION OF SINGULAR REDUCTION,
Kinematics of fluid particles on the sea surface: Hamiltonian theory,
Unnamed Item,
Dirac Reduction Revisited,
Unnamed Item,
О динамике вихревой нити. Новый взгляд на проблему энергии и эффективной массы,
A CANONICAL ANALYSIS OF THE EINSTEIN–HILBERT IN FIRST ORDER FORM,
The Poincaré variational principle in the Lagrange–Poincaré reduction of mechanical systems with symmetry,
Local classification of constraints,
Improved extended Hamiltonian and search for local symmetries,
Transformation of Second-Class into First-Class Constraints in Supersymmetric Theories,
Unnamed Item,
DEFORMATION QUANTIZATION OF RELATIVISTIC PARTICLES IN ELECTROMAGNETIC FIELDS,
TRANSLATIONS AND DYNAMICS,
BRST analysis and BFV quantization of the generalized quantum rigid rotor,
Lagrangian and Hamiltonian Formalisms with Supplementary Conditions,
Substituting fields within the action: Consistency issues and some applications,
Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory,
On the Batalin, Fradkin, Fradkina, and Tyutin quantization of first order systems,
Poincaré–Cartan integral invariant and canonical transformations for singular Lagrangians: An addendum,
Geometric quantization of topological gauge theories,
Numerical integration of constrained Hamiltonian systems using Dirac brackets,
Quantum cosmology of a Bianchi III LRS geometry coupled to a source free electromagnetic field,
Rich gauge structures from a unitary approach of some massless gauge fields of spins one and two,
FADDEEV-JACKIW APPROACH TO GAUGE THEORIES AND INEFFECTIVE CONSTRAINTS,
Manifestly covariant equations of motion for a particle in an external field,
An effective field theory of holographic dark energy,
Structure of the Dirac Bracket in Classical Mechanics,
Dirac reductions and classical W-algebras,
A brief introduction to gauge-invariant dynamical systems,
Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface,
One dimensional representations of finite \(W\)-algebras, Dirac reduction and the orbit method,
Analytical thermodynamics,
Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that,
Integrable systems on a sphere, an ellipsoid and a hyperboloid,
Canonical equivalence in anisotropic models for higher order theory of gravity,
Inflation and cosmological evolution with F(R,𝒢) gravity theory,
Heisenberg versus the covariant string,
Dirac’s analysis and Ostrogradskii’s theorem for a class of second-order degenerate Lagrangians,
A symmetry and Noether charge preserving discretization of initial value problems,
Simple two-layer dispersive models in the Hamiltonian reduction formalism,
Integrable coupled massive Thirring model with field values in a Grassmann algebra,
Hamiltonian Analysis of f(Q)$f(\mathbb {Q})$ Gravity and the Failure of the Dirac–Bergmann Algorithm for Teleparallel Theories of Gravity,
Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture,
Unnamed Item,
QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION,
DIRAC ANALYSIS AND INTEGRABILITY OF GEODESIC EQUATIONS FOR CYLINDRICALLY SYMMETRIC SPACETIMES,
Unnamed Item,
THE CANONICAL PATH INTEGRAL QUANTIZATION OF CHIRAL SCHWINGER MODEL,
Hamilton–Jacobi Treatment of Lagrangians with Linear Velocities,
FIRST-ORDER ACTIONS: A NEW VIEW,
Analogue gravity,
Lectures on the antifield-BRST formalism for gauge theories,
Recent progress and problems in the geometrical representation of conformal anomalies,
Semi-infinite cohomology and Hecke algebras,
Nonlinear bi-Hamiltonian dynamical systems: current Lie algebraic approach,
The Einstein-Vlasov system/kinetic theory,
The Wigner representation of classical mechanics, quantization and classical limit,
First-order Lagrangians and path-integral quantization in the \(t\)-\(J\) model,
Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces,
Covariant quantization of the gravitational field,
Hierarchical marketing mix models with sign constraints,
Alternative symplectic structures in second–class constrained systems