Smorodinsky-Winternitz potentials: Coherent state approach |
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Authors: | N Unal |
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Institution: | 1.Department of Physics,Akdeniz University,Antalya,Turkey |
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Abstract: | In this study, we construct the coherent states for a particle in the Smorodinsky-Winternitz potentials, which are the generalizations
of the two-dimensional harmonic oscillator problem and the Kepler-Coulomb problem. In the first case we find the nonspreading
wave packets by transforming the system into four oscillators in Cartesian, and also polar, coordinates. In the second case,
the coherent states are constructed in Cartesian coordinates by transforming the system into three nonisotropic harmonic oscillators.
All of these states evolve in physical-time. In the third case, the system is transformed into four oscillators and the parametric-time
coherent states are constructed in two coordinate frames. In the fourth case, the system is transformed into two oscillators
with the reflection symmetry and the parametrictime coherent states are constructed in two coordinate frames. |
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Keywords: | |
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