Quantized Space-Time

DOI10.1103/PhysRev.71.38zbMath0035.13101OpenAlexW2225001832WikidataQ21709251 ScholiaQ21709251MaRDI QIDQ5792849

H. S. Snyder

Publication date: 1947

Published in: Physical Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrev.71.38

zbMATH Keywords

Quantum theory

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of non-commutative phase-space on prolate nuclei in the presence of Coulomb interaction, Quantum walks simulating non-commutative geometry in the Landau problem, Perturbation of the ns levels of the hydrogen atom in rotationally invariant noncommutative space, Hermitian realizations of κ-Minkowski space–time, Deformed quantum mechanics and the Landau problem, Noncommutative fluid and growing modes of inhomogeneity in (Newtonian) cosmology, Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures, Aspects of Einstein’s general relativity: A classical deformation of Schwarzschild spacetime, Kinetic gases in static spherically symmetric modified dispersion relations, Noncommutative Dirac and Schrödinger equations in the background of the new generalized Morse potential and a class of Yukawa potential with the improved Coulomb-like tensor potential as a tensor in 3D-ERQM and 3D-ENRQM symmetries, Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking, Dynamical symmetries, coherent states and nonlinear realizations: Towards noncommutative gravity, Symmetric ordering and Weyl realizations for quantum Minkowski spaces, Noncommutative Yang model and its generalizations, On the plethora of representations arising in noncommutative quantum mechanics and an explicit construction of noncommutative 4-tori, Noncommutative spherically symmetric spacetimes at semiclassical order, A NEW APPROACH TO THE ANALYSIS OF A NONCOMMUTATIVE CHERN–SIMONS THEORY, ON THE QUESTION OF REGULAR SOLITONS IN A NONCOMMUTATIVE MAXWELL–CHERN–SIMONS–HIGGS MODEL, Space-Time Code, Classical and quantum fields in de Sitter space, FRAME FORMALISM FOR THE N-DIMENSIONAL QUANTUM EUCLIDEAN SPACES, INTERFACE OF GRAVITATIONAL AND QUANTUM REALMS, GENERALIZED WEYL SYSTEMS AND κ-MINKOWSKI SPACE, CANONICAL ANALYSIS OF NONCOMMUTATIVITY OF OPEN BOSONIC STRINGS, Fuzzy hyperspheres via confining potentials and energy cutoffs, Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space, Spavieri effect in noncommutative space, Realizations of the extended Snyder model, Quantum Kaluza-Klein theory with \(M_2(\mathbb{C})\), Noncommutativity and Nonassociativity of Closed Bosonic String on T‐dual Toroidal Backgrounds, Contravariant gravity on Poisson manifolds and Einstein gravity, Noncommutative Gauge Theory and Gravity in Three Dimensions, Four‐Dimensional Gravity on a Covariant Noncommutative Space (II), Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case, Synchronization and fundamental time: a connection between relativity and quantum mechanics, Equations for fields with additional fundamental physical constants, Fuzzy de Sitter Space from kappa‐Minkowski Space in Matrix Basis, Gauge theories on quantum spaces, Quantum Riemannian geometry of the discrete interval and q-deformation, Time-dependent Aharonov–Casher effect on noncommutative space, Realization of bicovariant differential calculus on the Lie algebra type noncommutative spaces, Quantum geodesic flows and curvature, Gauge theory on twist-noncommutative spaces, The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios, Noncommutative Hamiltonian formalism for noncommutative gravity ^*, Dynamic and static properties of quantum Hall and harmonic oscillator systems on the non-commutative plane, Hermitian realizations of the Yang model, Magnetoelectric Energy in Electrodynamics: Magnetoelectricity, Bi(an)isotropy, and Magnetoelectric Meta‐Atoms, Approximate arbitrary (k,l) states solutions of deformed Dirac and Schrödinger equations with new generalized Schiöberg and Manning–Rosen potentials within the generalized tensor interactionsin 3D-EQM symmetries, UV and IR effects on Hawking radiation, Momentum gauge fields from curved momentum space through Kaluza–Klein reduction, On the quantization of length in noncommutative spaces, The Clifford-Yang algebra, noncommutative Clifford phase spaces and the deformed quantum oscillator, Lagrangian corresponding to some Gup models, Black strings thermodynamics in noncommutative spacetime, Effect of Snyder–de Sitter Model on the black hole thermodynamics in the context of rainbow gravity, Towards quantum mechanics on the curved cotangent bundle, Thermodynamics of non-commutative scalar-tensor-vector gravity black holes, Energy-dependent harmonic oscillator in noncommutative space, Strong interaction model in DFR noncommutative space–time, Intrinsic measurement errors for the speed of light in vacuum, Covariant 4-dimensional fuzzy spheres, matrix models and higher spin, Zitterbewegung in noncommutative geometry, Field theory on nonanticommutative superspace, Classical gravity on fuzzy space-time, NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES, NONCOMMUTATIVE SCALAR FIELD MINIMALLY COUPLED TO GRAVITY, INFLUENCE OF GRAVITY ON NONCOMMUTATIVE DIRAC EQUATION, CLASSICAL VELOCITY IN κ-DEFORMED POINCARÉ ALGEBRA AND A MAXIMUM ACCELERATION, TWISTED POINCARE GROUP AND SPIN-STATISTICS, The velocity operator in quantum mechanics in noncommutative space, Large \(N\) expansion from fuzzy \(\text{AdS}_2\), Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories, Conformal property of the Finsler space \(\mathcal F_{\text{SR}}\) and extension of electromagnetic field equations, Quantum field theory on noncommutative spaces, Testing non-commutative QED, constructing non-commutative MHD, Quantum theories on noncommutative spaces with nontrivial topology: Aharonov-Bohm and Casimir effects, The role of initial conditions in presence of extra dimensions, Aharonov-Bohm effect in noncommutative spaces, On Quantized Space-Time, Statistical Geometry and Fundamental Particles, On the Quantization of a Unitary Field Theory, A Note on Quantized Space, BUILDING A CASE FOR A PLANCK-SCALE-DEFORMED BOOST ACTION: THE PLANCK-SCALE PARTICLE-LOCALIZATION LIMIT, LORENTZ INVARIANT AND SUPERSYMMETRIC INTERPRETATION OF NONCOMMUTATIVE QUANTUM FIELD THEORY, The Quantization of Space and Time, The Irreducible Volume Character of Events. I. A Theory of the Elementary Particles and of Fundamental Length, The Electromagnetic Field in Quantized Space-Time, Non-Linear Field Theories II. Canonical Equations and Quantization, QUANTIZATION OF FIELDS BASED ON GENERALIZED UNCERTAINTY PRINCIPLE, THE STRUCTURE OF SPACE–TIME: RELATIVITY GROUPS, A CYCLIC INTEGRAL ON κ-MINKOWSKI NONCOMMUTATIVE SPACE–TIME, Aspetti fisici delle teorie unitarie, Quantized Space-Time, Dirac oscillator and nonrelativistic Snyder-de Sitter algebra, THE FLUCTUATION SPECTRA AROUND A GAUSSIAN CLASSICAL SOLUTION OF A TENSOR MODEL AND THE GENERAL RELATIVITY, QUANTUM FIELDS ON THE GROENEWOLD–MOYAL PLANE, A deformation quantization theory for noncommutative quantum mechanics, On the existence of certain axisymmetric interior metrics, Possible quantum kinematics. II. Nonminimal case, Free-fall in a uniform gravitational field in noncommutative quantum mechanics, The Wigner-Inönü contraction and possible conformai invariance of internal and external motions of elementary particles, Snyder noncommutativity and pseudo-Hermitian Hamiltonians from a Jordanian twist, Analysis of space-time structure in elementary particle physics, Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type, Noncommutative coherent states and related aspects of Berezin–Toeplitz quantization, Quantum geodesics on quantum Minkowski spacetime, Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity, Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces, All noncommutative spaces of κ-Poincaré geodesics, Algebraic structure of Dirac Hamiltonians in non-commutative phase space, Gauge theoretic approach to (ordinary) gravity and its fuzzy extensions in three and four dimensions