Coherent states on the circle

Journal of Physics A: Mathematical and General

Volumn 31, Issue 44, 1998, Pages 8841-8857

  González, José A ^a   Del Olmo, Mariano A ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037501103     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/44/012     Document Type: Article

References (24)

1. Ali S T, Antoine J-P and Gazeau J-P 1991 Ann. Inst. H. Poincaré 55 829 Ali S T, Antoine J-P and Gazeau J-P 1991 Ann. Inst. H. Poincaré 55 857
2. Ali S T, Antoine J-P and Gazeau J-P 1991 Ann. Inst. H. Poincaré 55 829 Ali S T, Antoine J-P and Gazeau J-P 1991 Ann. Inst. H. Poincaré 55 857
3. Abramowitz M and Stegun I A (ed) 1972 Handbook of Mathematical Functions (New York: Dover)
4. Bargmann V 1961 Commun. Pure Appl. Math. 14 187
5. Bouzouina A and de Bièvre S 1996 Commun. Math. Phys. 178 83
6. Carruthers P and Nieto M M 1968 Rev. Mod. Phys. 40 411
7. de Bièvre S 1989 J. Math. Phys. 30 1401
8. de Bièvre S and González J A 1992 Semiclassical behaviour of the Weyl correspondence on the circle Group Theoretical Methods in Physics vol I (Madrid: Ciemat)
9. de Bièvre S and González J A 1993 Semiclassical behaviour of coherent states on the circle Quantization and Coherent States Methods (Singapore: World Scientific)
10. Erdélyi A (ed) 1981 Higher Transcendental Functions vol II (Malabar, FL: Krieger)
11. Folland G B 1989 Harmonic Analysis in Phase Space (Princeton, NJ: Princeton University Press)
12. González J A 1996 Coherent states and quantization on the cylinder PhD Thesis Universidad de Valladolid
13. Isham C J and Klauder J R 1991 J. Math. Phys. 32 607
14. Janssen AJEM 1982 J. Math. Phys. 23 720
15. Kowalski K, Rembieliński J and Papaloucas L C 1996 J. Phys. A: Math. Gen. 29 4149
16. Klauder J R and Skagerstam B-S 1985 Coherent States: Applications in Physics and Mathematical Physics (Singapore: World Scientific)
17. Lévy-Lehlond J-M 1976 Ann. Phys. 101 319
18. Mumford D 1983 Tata Lectures on Theta vol 1 (Boston, MA: Birkháuser)
19. Perelomov A M 1986 Generalized Coherent Sstates and their Applications (Berlin: Springer)
20. Reed M and Simon B 1975 Methods of Modern Mathematical Physics II: Fourier Analysis, Self-adjointness (New York: Academic)
21. Reed M and Simon B 1978 Methods of Modern Mathematical Physics vol IV: Analysis of Operators (New York: Academic)
22. Whittaker E T and Watson G N 1927 A Course of Modern Analysis (Cambridge: Cambridge University Press)
23. Zak J 1968 Phys. Rev. 168 686
24. Zak J 1969 Phys. Rev. 187 1803