Classical and Quantum Coherent States

International Journal of Theoretical Physics

Volumn 42, Issue 8, 2003, Pages 1707-1731

  Brodlie, Alastair ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Heisenberg group; Quantum mechanics; States

Indexed keywords

EID: 0346201202     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026175103658     Document Type: Article

References (17)

1. Arveson, W. (1976). An invitation to C*-algebras. In Graduate Texts in Mathematics, Vol. 39, Springer-Verlag, New York.
2. Dixmier, J. (1977). C*-Algebras, Vol. 15, North-Holland Publishing, Amsterdam. Translated from the French by Francis Jellett, North-Holland Mathematical Library.
3. Folland G. B. (1989). Harmonic Analysis in Phase Space, Princeton University Press, Princeton, NJ.
4. Goldstein, H. (1980). Classical Mechanics, 2nd edn. Addison-Wesley, Reading, MA, Addison-Wesley Series in Physics.
5. Hepp, K. (1974). The classical limit for quantum mechanical correlation functions. Communication in Mathematics Physics 35, 265-277.
6. Honerkamp, J. (1998). Statistical Physics, Springer-Verlag, Berlin. An advanced Approach With Applications, Translated from the German manuscript by Thomas Filk.
7. José, J. V. and Saletan, E. J. (1998). Classical Dynamics, Cambridge University Press, Cambridge. A contemporary approach.
8. Kirillov, A. A. (1976). Elements of the Theory of Representations, Springer-Verlag, Berlin. Translated from the Russian by Edwin Hewitt, Grundlehren der Mathematischen Wissenschaften, Band 220.
9. Kirillov, A. A. (1999). Merits and demerits of the orbit method. Bulletin of American Mathematical Society N.S. 36(4), 433-488.
10. Kirillov, A. A. and Gvishiani, A. D. (1982). Theorems and Problems in Functional Analysis (Problem Books in Mathematics), Springer-Verlag, New York. Translated from the Russian by Harold H. McFaden.
11. Kisil, V. V. (2002a). p-Mechanics as a Physical Theory. An Introduction, E-print: arXiv:quant-ph/0212101.
12. Kisil, V. V. (2002b). Quantum and classical brackets. International Journal of Theoretical Physics 41(1), 63-77. E-print: arXiv:math-ph/0007030.
13. Kurşunoǧlu, B. (1962). Modern Quantum Theory, W. H. Freeman, San Francisco.
14. Martinez, J. (1984). Diagrammatic solution of the forced oscillator. European Journal of Physics 4(4), 221-227.
15. Merzbacher, E. (1970). Quantum Mechanics, Wiley, New York.
16. Perelomov, A. (1986). Generalized Coherent States and Their Applications, Texts and Monographs in Physics. Springer-Verlag, Berlin.
17. Taylor, M. E. (1986). Noncommutative Harmonic Analysis, American Mathematical Society, Providence, RI.