Integrable anharmonic potentials for stretching and bending molecular vibrations

DOI10.1016/j.aop.2020.168096zbMath1433.81094OpenAlexW3006534175MaRDI QIDQ1987502

Konstantin V. Kazakov

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.aop.2020.168096

zbMATH Keywords

perturbation theorySchrödinger equationanharmonic oscillator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization method in quantum mechanics
• A dressing method in mathematical physics.
• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• Lie theory and special functions
• New Soluble Energy Band Problem
• Matrix elements for powers ofx-dependent operators for the hyperbolic Pöschl–Teller potentials
• The generalized Morse oscillator in the SO(4,2) dynamical group scheme
• The Energy Levels of a Rotating Vibrator
• On the Vibrations of Polyatomic Molecules
• Solvable potentials associated with su(1,1) algebras: a systematic study
• A class of solvable potentials
• The Factorization Method

This page was built for publication: Integrable anharmonic potentials for stretching and bending molecular vibrations