Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
From MaRDI portal
Publication:4254325
DOI10.1088/0305-4470/31/30/014zbMath0932.81006arXivquant-ph/9807002OpenAlexW3101151145MaRDI QIDQ4254325
Publication date: 18 November 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9807002
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
Related Items
Generalized adiabatic product expansion: A nonperturbative method of solving the time-dependent Schrödinger equation ⋮ Wave packet dynamics for a system with position and time-dependent effective mass in an infinite square well ⋮ On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field ⋮ Equivalent quantum systems ⋮ Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ BOUND STATES OF THE KLEIN–GORDON EQUATION FOR WOODS–SAXON POTENTIAL WITH POSITION DEPENDENT MASS ⋮ Parity-time \((\mathcal{PT})\) invariance and pseudo-Hermitian Hamiltonian of a nonlinear oscillator ⋮ The \(q\)-oscillator: A Lagrangian description for variable damping ⋮ An alternative model of the damped harmonic oscillator under the influence of external force ⋮ Quantum systems simulatability through classical networks