Name
Abstract | ||
|---|---|---|
We are concerned with a class of generalized coherent states (GCS) attached to Euclidean Landau levels (or to m-true-polyanalytic spaces), which can be obtained by displacing a Gaussian-Hermite function as an admissible (or window) function. Precisely, we evaluate the Wehrl entropy for a density operator representing a projector on a Fock state (pure states) and we give an upper bound for this entropy. We also establish an exact formula of this entropy for the heat operator (mixed states) associated with the harmonic oscillator. In this case, the behavior of the entropy with respect to the temperature parameter shows the dependence of its minimum to the Landau level or equivalently to the window function by means of which the GCS involved in the Wehrl entropy were constructed. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1142/S0219691319500243 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | Field | DocType |
Coherent states, Husimi function, Wehrl entropy, m-true-polyanalytic spaces, Landau levels, heat operator, harmonic oscillator | Landau quantization,Mathematical analysis,Mathematical physics,Euclidean geometry,Mathematics | Journal |
Volume | Issue | ISSN |
17 | 4 | 0219-6913 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Z. Mouayn | 1 | 0 | 0.34 |
| H. Kassogue | 2 | 0 | 0.34 |
| P. Kayupe Kikodio | 3 | 0 | 0.34 |
| I. F. Fatani | 4 | 0 | 0.34 |