Coherent states for the Hartmann potential |
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Authors: | N Kandirmaz N Ünal |
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Institution: | (1) Department of Physics, Mersin University, Mersin, Turkey;(2) Department of Physics, Akdeniz University, Antalya, Turkey |
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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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 3, pp. 439–452, June, 2008. |
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Keywords: | Hartmann potential noncentral potential coherent state in parametric time path integral |
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