Lewis-Riesenfeld approach to the solutions of the Schrödinger equation in the presence of a time-dependent linear potential

DOI10.1103/PhysRevA.71.014101zbMath1227.81164arXivquant-ph/0309174MaRDI QIDQ3102468

Publication date: 4 December 2011

Published in: Physical Review A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0309174

Mathematics Subject Classification ID

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

Related Items (12)

Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields ⋮ Wigner function of a relativistic particle in a time-dependent linear potential ⋮ Application of the Lewis-Riesenfeld quantum mechanical invariant method for description of electron tunneling transport in nitride multilayer quantum well nanostructures ⋮ Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential ⋮ Periodicity and limit cycle perturbation analysis of a predator-prey model with interspecific species' interference, predator additional food and dispersal ⋮ Pseudo-fermionic coherent states with time-dependent metric ⋮ Landau problem with time dependent mass in time dependent electric and harmonic background fields ⋮ Classical-quantum interface of a particle in a time-dependent linear potential ⋮ TIME-DEPENDENT EVOLUTION OF A WAVE PACKET IN QUANTUM SYSTEMS ⋮ Using the evolution operator method to describe a particle in a homogeneous alternating field ⋮ Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach ⋮ Class of invariants for the two-dimensional time-dependent Landau problem and harmonic oscillator in a magnetic field

Cites Work

This page was built for publication: Lewis-Riesenfeld approach to the solutions of the Schrödinger equation in the presence of a time-dependent linear potential