Invariants and Lie algebraic solutions of Schrödinger equation

DOI10.1063/1.530017zbMath0780.35093OpenAlexW2003336237MaRDI QIDQ3141388

Riccardo Rosso, Franco Salmistraro

Publication date: 6 December 1993

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

Full work available at URL: https://doi.org/10.1063/1.530017

zbMATH Keywords

Lie algebratime-dependent Hamiltonianinvariant operators in quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie algebras and Lie superalgebras (17B99)

Related Items (2)

Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ Explicit Wei-Norman formulae for matrix Lie groups via Putzer's method

Cites Work

• The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit
• Quantal phase factors accompanying adiabatic changes
• Lie Algebraic Solution of Linear Differential Equations
• Exponential Operators and Parameter Differentiation in Quantum Physics

This page was built for publication: Invariants and Lie algebraic solutions of Schrödinger equation