Exact solution for a harmonic oscillator with a time-dependent inverse square po tential by path-integral | Zendy

Ping Wang | Zendy; Yang Xin-E | Zendy; Song Xiao-Hui | Zendy

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Exact solution for a harmonic oscillator with a time-dependent inverse square po tential by path-integral

Author(s) -

Ping Wang,

Yang Xin-E,

Song Xiao-Hui

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.52.2957

Subject(s) - harmonic oscillator , path integral formulation , inverse , physics , harmonic , square (algebra) , anharmonicity , quantum harmonic oscillator , exact solutions in general relativity , transformation (genetics) , wave function , quantum mechanics , mathematical analysis , mathematics , geometry , biochemistry , chemistry , quantum , gene

Using coordinate-transformation we transformed a harmonic oscillator with time-d ependent mass and a time-dependent inverse potential into a harmonic oscillator with time-independent mass and a time-independent inverse potential accordingly. In terms of the relation between these two different harmonic oscillators' prop agators we derived the exact wavefunction of the former by Feynman path-integral . We also discussed the harmonic oscillator with more additional potentials.

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