Improved rotating Kratzer-Fues oscillator: eigenenergies, eigenfunctions, coherent states and ladder operators

DOI10.1007/s10910-024-01585-wMaRDI QIDQ6203920

Marcin Molski

Publication date: 8 April 2024

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

zbMATH Keywords

coherent statesladder operatorsalgebraic methodsKratzer-Fues oscillatorrovibrational transitions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Coherent states (81R30) Molecular physics (81V55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Estimating the dimension of a model
• Kratzer potential algebraic representation and matrix elements recurrence formulae
• Exact solutions and coherent states for a generalized potential
• Minimum-uncertainty coherent states of the hyperbolic and trigonometric Rosen-Morse oscillators
• A general scheme for the construction of minimum uncertainty coherent states of anharmonic oscillators
• On an algebraic approach to the Kratzer oscillator
• A new look at the statistical model identification
• Improved energy formula for highly excited vibrational states of Kratzer-Fues oscillator

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