Monodromy, diabolic points, and angular momentum coupling
From MaRDI portal
Publication:1966867
DOI10.1016/S0375-9601(99)00229-7zbMath0934.81005OpenAlexW2031119305MaRDI QIDQ1966867
Dmitrií A. Sadovskií, Boris I. Zhilinskiĭ
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00229-7
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items
Nekhoroshev's approach to Hamiltonian monodromy, The problem of two fixed centers: bifurcations, actions, monodromy, Semitoric integrable systems on symplectic 4-manifolds, Dynamical manifestations of Hamiltonian monodromy, Rearrangement of energy bands: topological aspects, Moment polytopes for symplectic manifolds with monodromy, Semiclassical quantization and spectral limits of ħ-pseudodifferential and Berezin-Toeplitz operators, Band rearrangement through the 2D-Dirac equation: comparing the APS and the chiral bag boundary conditions, Monodromy of Hamiltonian systems with complexity 1 torus actions, Hamiltonian monodromy and Morse theory, Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry, Parallel transport along Seifert manifolds and fractional monodromy, Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems, Packing densities of Delzant and semitoric polygons, Symplectic geometry and spectral properties of classical and quantum coupled angular momenta, Constructions of b-semitoric systems, Hamiltonian Monodromy via spectral Lax pairs, The affine invariant of proper semitoric integrable systems, GeneralizedSU(2) covariant Wigner functions and some of their applications, Topology of time-reversal invariant energy bands with adiabatic structure, Chern number modification in crossing the boundary between different band structures: Three-band models with cubic symmetry, A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy, Recent advances in the monodromy theory of integrable Hamiltonian systems, Symplectic invariants of semitoric systems and the inverse problem for quantum systems, Angular momentum coupling, Dirac oscillators, and quantum band rearrangements in the presence of momentum reversal symmetries, A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation, Energy bands: Chern numbers and symmetry, An affine model for the actions in an integrable system with monodromy, Infinitesimally stable and unstable singularities of 2-degrees of freedom completely integrable systems, From compact semi-toric systems to Hamiltonian \(S^1\)-spaces, A family of compact semitoric systems with two focus-focus singularities, Algebraic approach to two-dimensional systems: Shape phase transitions, monodromy, and thermodynamic quantities, Integrable systems, symmetries, and quantization, Minimal models of compact symplectic semitoric manifolds, Geodesics on the ellipsoid and monodromy, Semiclassical inverse spectral theory for singularities of focus-focus type, Monodromy of the quantum 1:1:2 resonant swing spring, Topologically coupled energy bands in molecules, Interpretation of quantum Hamiltonian monodromy in terms of lattice defects, Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models, The height invariant of a four-parameter semitoric system with two focus-focus singularities, Classification of perturbations of the hydrogen atom by small static electric and magnetic fields, Monodromy in non-integrable systems on certain compact classical phase spaces, Symplectic classification of coupled angular momenta, Symplectic theory of completely integrable Hamiltonian systems, Fractional monodromy of resonant classical and quantum oscillators, Monodromy in the hydrogen atom in crossed fields, Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy, Existence of pseudoheavy fibers of moment maps, Fractional Hamiltonian monodromy from a Gauss–Manin monodromy, Symmetry, invariants, topology. Basic tools, Symmetry, invariants, and topology in molecular models, Rydberg states of atoms and molecules. Basic group theoretical and topological analysis, Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems, Local description of band rearrangements, Spectral invariants for coupled spin-oscillators, Quaternionic Dirac oscillator
Cites Work
