This article is cited in 11 papers

Coherent states for the Hartmann potential

N. Kandirmaz^a, N. Ünal<sup>b

a</sup> University of Mersin
^b Akdeniz University

Abstract: We obtain the coherent states for a particle in the noncentral Hartmann potential by transforming the problem into four isotropic oscillators evolving in a parametric time. We use path integration over the holomorphic coordinates to find the quantum states for these oscillators. The decomposition of the transition amplitudes gives the coherent states and their parametric-time evolution for the particle in the Hartmann potential. We also derive the coherent states in the parabolic coordinates by considering the transition amplitudes between the coherent states and eigenstates in the configuration space.

Keywords: Hartmann potential, noncentral potential, coherent state in parametric time, path integral.

Received: 10.01.2007
Revised: 14.06.2007

DOI: 10.4213/tmf6221

 English version: Theoretical and Mathematical Physics, 2008, 155:3, 884–895

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