Exact solutions and coherent states for a generalized potential

DOI10.1007/s10910-016-0697-5zbMath1384.81028OpenAlexW2530195864WikidataQ59609556 ScholiaQ59609556MaRDI QIDQ1704728

Marcin Molski

Publication date: 13 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10910-016-0697-5

zbMATH Keywords

exact solutionsanharmonic oscillatorcoherent statesalgebraic methodgeneralized potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Coherent states (81R30)

Related Items (4)

Coherent states for Kratzer-type potentials ⋮ Quantum and classical phenomenological universalities ⋮ Improved energy formula for highly excited vibrational states of Kratzer-Fues oscillator ⋮ Improved rotating Kratzer-Fues oscillator: eigenenergies, eigenfunctions, coherent states and ladder operators

Cites Work

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• 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
• A class of exactly solvable potentials. I: One-dimensional Schrödinger equation
• Liouville transformation and exactly solvable Schrödinger equations
• New 'coherent' states associated with non-compact groups
• New Soluble Energy Band Problem
• A general scheme for the construction of minimum uncertainty coherent states of anharmonic oscillators
• New shape-invariant potentials in supersymmetric quantum mechanics
• Coherent and Incoherent States of the Radiation Field

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