Smorodinsky-Winternitz potentials: Coherent state approach

Journal Article · Thu Dec 15 04:00:00 EST 2011 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778811070167· OSTI ID:22029882

Unal, N ^[1]

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1. Akdeniz University, Department of Physics (Turkey)

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.

• OSTI ID: 22029882
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 12 Vol. 74; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CARTESIAN COORDINATES
EIGENSTATES
HARMONIC OSCILLATORS
OSCILLATORS
POTENTIALS
REFLECTION
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
WAVE PACKETS