Path integral solution for an angle-dependent anharmonic oscillator

Details Path integral solution for an angle-dependent anharmonic oscillator Path integral solution for an angle-dependent anharmonic oscillator

2011-09-12

arxiv.org/abs/1109.2454v2

Physics

Mathematical Physics

Corrected typos and mistakes, To appear in Communications in Theoretical Physics

Scientific paper

We have given a straightforward method to solve the problem of noncentral anharmonic oscillator in three dimensions. The relative propagator is presented by means of path integrals in spherical coordinates. By making an adequate change of time we were able to separate the angular motion from the radial one. The relative propagator is then exactly calculated. The energy spectrum and the corresponding wave functions are obtained.

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