Self-adjoint oscillator operator from a modified factorization

DOI10.1016/j.physleta.2011.04.012zbMath1242.81074OpenAlexW2005179162MaRDI QIDQ434084

M. Ranferí Gutiérrez, Haret C. Rosu, Marco A. H. Reyes

Publication date: 9 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.04.012

zbMATH Keywords

factorizationgeneralized Hermite polynomialsquantum harmonic oscillatorOrnstein-Uhlenbeck processes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Brownian motion (60J65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator

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