Multidimensional generalized coherent states

作者: M Novaes , J P Gazeau

DOI: 10.1088/0305-4470/36/1/313

关键词:

摘要: Generalized coherent states were presented recently for systems with one degree of freedom having discrete and/or continuous spectra. We extend that definition to several degrees freedom, give some examples and apply the formalism model two-dimensional fermion gas in a constant magnetic field.

参考文章(15)
Jean-Pierre Gazeau, Pascal Monceau, Generalized coherent states for arbitrary quantum systems Springer Netherlands. pp. 131- 144 ,(2000) , 10.1007/978-94-015-1276-3_10
Askol'd. Mikhailovich Perelomov, Generalized Coherent States and Their Applications ,(1986)
Jean-Pierre Antoine, Syed Twareque Ali, Jean-Pierre Gazeau, Coherent States, Wavelets, and Their Generalizations ,(2000)
J. P. Gazeau, P. Y. Hsiao, A. Jellal, Exact trace formulas for two-dimensional electron magnetism Physical Review B. ,vol. 65, pp. 094427- ,(2002) , 10.1103/PHYSREVB.65.094427
Elliott H. Lieb, The Classical Limit of Quantum Spin Systems Communications in Mathematical Physics. ,vol. 31, pp. 327- 340 ,(1973) , 10.1007/BF01646493
John R. Klauder, Continuous‐Representation Theory. II. Generalized Relation between Quantum and Classical Dynamics Journal of Mathematical Physics. ,vol. 4, pp. 1058- 1073 ,(1963) , 10.1063/1.1704035
F A Berezin, COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS Mathematics of The Ussr-izvestiya. ,vol. 6, pp. 1117- 1151 ,(1972) , 10.1070/IM1972V006N05ABEH001913
J. R. Klauder, K. A Penson, J.-M. Sixdeniers, Constructing coherent states through solutions of Stieltjes and Hausdorff moment problems Physical Review A. ,vol. 64, pp. 013817- ,(2001) , 10.1103/PHYSREVA.64.013817
John R Klauder, Coherent states for the hydrogen atom Journal of Physics A. ,vol. 29, ,(1996) , 10.1088/0305-4470/29/12/002
John R. Klauder, Continuous‐Representation Theory. I. Postulates of Continuous‐Representation Theory Journal of Mathematical Physics. ,vol. 4, pp. 1055- 1058 ,(1963) , 10.1063/1.1704034