Glauber's coherent states and the semiclassical propagator
This paper studies the classical propagator on Glauber's coherent states in a generalized P-form. A full class of equivalent expressions labeled by a complex number is found through a direct WKB expansion. The study of matrix elements of the propagator between coherent states shows that they ma...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Inglés |
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1986
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222488_v27_n5_p1351_Solari |
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paperaa:paper_00222488_v27_n5_p1351_Solari2023-06-12T16:44:17Z Glauber's coherent states and the semiclassical propagator Journal of Mathematical Physics 1986;27(5):1351-1357 Solari, H.G. This paper studies the classical propagator on Glauber's coherent states in a generalized P-form. A full class of equivalent expressions labeled by a complex number is found through a direct WKB expansion. The study of matrix elements of the propagator between coherent states shows that they match Klauder's classical expression but are in some disagreement in the semiclassical order with expression derived through path integral procedures. Arguments are given that favor the present results. The properties of the time propagator with respect to symmetry operations are stated. Possible extensions are briefly discussed. © 1986 American Institute of Physics. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1986 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v27_n5_p1351_Solari |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| description |
This paper studies the classical propagator on Glauber's coherent states in a generalized P-form. A full class of equivalent expressions labeled by a complex number is found through a direct WKB expansion. The study of matrix elements of the propagator between coherent states shows that they match Klauder's classical expression but are in some disagreement in the semiclassical order with expression derived through path integral procedures. Arguments are given that favor the present results. The properties of the time propagator with respect to symmetry operations are stated. Possible extensions are briefly discussed. © 1986 American Institute of Physics. |
| format |
Artículo Artículo publishedVersion |
| author |
Solari, H.G. |
| spellingShingle |
Solari, H.G. Glauber's coherent states and the semiclassical propagator |
| author_facet |
Solari, H.G. |
| author_sort |
Solari, H.G. |
| title |
Glauber's coherent states and the semiclassical propagator |
| title_short |
Glauber's coherent states and the semiclassical propagator |
| title_full |
Glauber's coherent states and the semiclassical propagator |
| title_fullStr |
Glauber's coherent states and the semiclassical propagator |
| title_full_unstemmed |
Glauber's coherent states and the semiclassical propagator |
| title_sort |
glauber's coherent states and the semiclassical propagator |
| publishDate |
1986 |
| url |
http://hdl.handle.net/20.500.12110/paper_00222488_v27_n5_p1351_Solari |
| work_keys_str_mv |
AT solarihg glauberscoherentstatesandthesemiclassicalpropagator |
| _version_ |
1769810166506586112 |