The algebraic approach for the derivation of ladder operators and coherent states for the Goldman and Krivchenkov oscillator by the use of supersymmetric quantum mechanics

DOI10.1007/s10910-014-0341-1zbMath1300.81054OpenAlexW2023055300WikidataQ59397769 ScholiaQ59397769MaRDI QIDQ460917

Krzysztof Eder, Marcin Molski, Damian Mikulski

Publication date: 9 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10910-014-0341-1

zbMATH Keywords

anharmonic oscillatorcoherent statesDarboux transformationladder operatorsalgebraic methodsGoldman and Krivchenkov potentialisospectral potentialsupersymmetry approach

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (3)

The pseudoharmonic oscillator energy spectrum ⋮ Exact solutions and coherent states for a generalized potential ⋮ Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

Cites Work

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• KLAUDER–PERELOMOV AND GAZEAU–KLAUDER COHERENT STATES FOR SOME SHAPE INVARIANT POTENTIALS
• The Factorization Method

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