Construction of time-dependent dynamical invariants: A new approach

DOI10.1063/1.3702824zbMath1275.81028OpenAlexW2021131635MaRDI QIDQ2860749

No author found.

Publication date: 20 November 2013

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

Full work available at URL: http://hdl.handle.net/11449/24635

zbMATH Keywords

Ermakov invariant

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field ⋮ Hydrodynamic interpretation of generic squeezed coherent states: a kinetic theory ⋮ Adiabatic and nonadiabatic evolution of a generalized damped harmonic oscillator ⋮ On Different Approaches for Integrals of Physical Dynamical Systems ⋮ Complex invariants for some time-independent and time-dependent classical systems ⋮ On non-autonomous dynamical systems

Cites Work

• Construction of exact invariants for time-dependent classical dynamical systems
• Second-order differential equations: Conditions of complete integrability
• A re-examination of the quantum theory of optical cavities with moving mirrors
• Quantum analogue of Ermakov systems and the phase of the quantum wave function

This page was built for publication: Construction of time-dependent dynamical invariants: A new approach