Universal integrals of motion and universal invariants of quantum systems

DOI10.1088/0305-4470/33/43/305zbMath1032.81509OpenAlexW2043744949MaRDI QIDQ2707801

V. V. Dodonov

Publication date: 4 April 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/43/305

zbMATH Keywords

Wigner functionSchrödinger equationsemisimple Lie algebraphase space representationquantum-mechanical operatorsuniversal quantum integrals of motionuniversal quantum invariants

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (7)

Nonlinear dynamics of a semiquantum Hamiltonian in the vicinity of quantum unstable regimes ⋮ Invariant norm quantifying nonlinear content of Hamiltonian systems ⋮ Non-monotonous behavior of the number variance, Mandel factor, invariant uncertainty product and purity for the quantum damped harmonic oscillator ⋮ The uncertainty principle as invariant of motion for time-dependent Hamiltonians ⋮ Second quantized scalar QED in homogeneous time-dependent electromagnetic fields ⋮ Higher-order uncertainty relations ⋮ Coherent States and Their Generalizations for a Charged Particle in a Magnetic Field

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