Coherent states for Smorodinsky-Winternitz potentials

• Authors: Nuri Ünal
• Languages of publication: EN

Abstracts

EN

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. In the first case, we find the non-spreading 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 non-isotropic harmonic oscillators. All of these states evolve in physical-time. We also show that in parametric-time, the second case can be transformed to the first one with vanishing eigenvalues.

Keywords

EN

coherent states; path integrals; deformed harmonic oscillators

Discipline

• 02.: Mathematical methods in physics
• 03.: Quantum mechanics, field theories, and special relativity(see also section 11 General theory of fields and particles)
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Ca: Formalism

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 4
• Pages: 774-785

Dates

published

1 - 12 - 2009

online

21 - 7 - 2009

Contributors

author

Nuri Ünal

• Department of Physics, Akdeniz University, PK 510, Antalya, 07058, Turkey

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Identifiers

DOI

10.2478/s11534-009-0039-3