A class of exactly solved time-dependent quantum harmonic oscillators

DOI10.1088/0305-4470/27/11/039zbMath0842.70016OpenAlexW2020229751MaRDI QIDQ4868702

Sang Pyo Kim

Publication date: 1 August 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/11/039

zbMATH Keywords

quantum statesLewis-Riesenfeld invariantsCaldirola-Kanai oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear dynamics in mechanics (70K99)

Related Items (10)

Evolution of energy and magnetic moment of a quantum charged particle in power-decaying magnetic fields ⋮ Observability for Schrödinger equations with quadratic Hamiltonians ⋮ A \(n\tau\)-periodic cyclic initial state and Berry's phase for a \(\tau\)-periodic harmonic oscillator ⋮ Duality and scaling in quantum mechanics. ⋮ Time-dependent Schrödinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations ⋮ The Schrödinger system \(H=-\frac 1 2 e^{\Upsilon(t-t_0)}\partial_{xx}+\frac 1 2\omega^2 e^{-\Upsilon(t-t_0)}x^2\) ⋮ The Schrödinger system \(H=-\frac 1 2(\frac {t_0}{t})^a\partial_{xx}+\frac 1 2\omega^2(\frac{t}{t_0})^bx^2\) ⋮ General solutions of quantum mechanical equations of motion with time-dependent Hamiltonians: a Lie algebraic approach ⋮ ``Separation of variables in the model problems of the diffraction theory. A formal scheme ⋮ Time evolution of quadratic quantum systems: evolution operators, propagators, and invariants

This page was built for publication: A class of exactly solved time-dependent quantum harmonic oscillators