DOI10.1007/BF01077703zbMath0715.58036OpenAlexW2009306239MaRDI QIDQ752576
Mikhail V. Karasev
Publication date: 1990
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01077703
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)
Quantum chaos (81Q50)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)
Perturbations of PDEs on manifolds; asymptotics (58J37)
Phase integral theory, coupled wave equations, and mode conversion ⋮
On the geometry of slow-fast phase spaces and the semiclassical quantization ⋮
Quantum and semiclassical representations over Lagrangian submanifolds in su(2)*, so(4)*, and su(1,1)* ⋮
Quasi-modes corresponding to the stable type of conditionally periodic motion ⋮
Contribution to the symplectic structure in the quantization rule due to noncommutativity of adiabatic parameters ⋮
Representations of compact semisimple Lie algebras over Lagrangian submanifolds ⋮
Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. III. ⋮
Spectral series of the Schrödinger operator in thin waveguides with periodic structure. I: Adiabatic approximation and semiclassical asymptotics in the 2D case ⋮
Magneto-metric Hamiltonians on quantum surfaces in the configuration space ⋮
Geometry of the transport equation in multicomponent WKB approximations ⋮
On quantum averaging, quantum KAM, and quantum diffusion ⋮
On the global structure of normal forms for slow-fast Hamiltonian systems ⋮
Magneto-dimensional resonance. Pseudospin phase and hidden quantum number ⋮
Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮
Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems ⋮
Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form ⋮
Electronic optics in graphene in the semiclassical approximation ⋮
Multicomponent Wentzel–Kramers–Brillouin approximation on arbitrary symplectic manifolds: A star product approach ⋮
Integral representations over isotropic submanifolds and equations of zero curvature ⋮
Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field ⋮
Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field ⋮
Adiabatic approximation via hodograph translation and zero-curvature equations
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