Functional integral treatment of some quantum nondemolition systems

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 6, 2007, Pages 1273-1288

  Banerjee, Subhashish ^a   Ghosh, R ^b  

^a RAMAN RESEARCH INSTITUTE   (India)

^b JAWAHARLAL NEHRU UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347345404     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/6/006     Document Type: Article

References (47)

1. Caves C M, Thorne K D, Drever R W P, Sandberg V D and Zimmerman M 1980 Rev. Mod. Phys. 52 341
2. Bocko M F and Onofrio R 1996 Rev. Mod. Phys. 68 755
3. Onofrio R and Viola L 1998 Phys. Rev. A 58 69
4. Zurek WH 1984 The Wave-Particle Dualism ed S Diner, D Fargue, G Lochak and F Selleri (Dordrecht: Reidel)
5. Walls D F and Milburn G J 1994 Quantum Optics (Berlin: Springer)
6. Milburn G J and Walls D F 1983 Phys. Rev. A 28 2065
7. Orzel C, Tuchman A K, Fenselau M L, Yasuda M and Kasevich M A 2001 Science 291 2386
8. Kuzmich A, Bigelow N P and Mandel L 1998 Europhys. Lett. 42 481
9. Ford G W, Kac M and Mazur P 1965 J. Math. Phys. 6 504
10. Caldeira A O and Leggett A J 1983 Physica A 121 587
11. Zurek W H 1991 Phys. Today 44 36
12. Zurek W H 1993 Prog. Theor. Phys. 81 28
13. Feynman R P and Vernon F L 1963 Ann. Phys., NY 24 118
14. Hakim V and Ambegaokar V 1985 Phys. Rev. A 32 423
15. Smith C M and Caldeira A O 1987 Phys. Rev. A 36 3509
16. Smith C M and Caldeira A O 1990 Phys. Rev. A 41 3103
17. Grabert H, Schramm P and Ingold G L 1988 Phys. Rep. 168 115
18. Banerjee S and Ghosh R 2000 Phys. Rev. A 62 042105
19. Banerjee S and Ghosh R 2003 Phys. Rev. E 67 056120
20. Gangopadhyay G, Kumar M S and Dattagupta S 2001 J. Phys. A: Math. Gen. 34 5485
21. Shao J, Ge M-L and Cheng H 1996 Phys. Rev. E 53 1243
22. Prokof'ev N V and Stamp P C E 2000 Rep. Prog. Phys. 63 669
23. Schwinger J 1965 Quantum Theory of Angular Momentum ed L C Biedenharn and H von Dam (New York: Academic)
24. Bargmann V 1947 Ann. Math. 48 568
25. Bargmann V 1962 Rev. Mod. Phys. 34 829
26. Papadapoulas G J 1986 J. Math. Phys. 27 221
27. Papadapoulas G J 1986 J. Math. Phys. 27 1492 (erratum)
28. Papadapoulas G J 1985 J. Phys. A: Math. Gen. 18 1945
29. Leggett A J, Chakravarty S, Dorsey A T, Fisher M P A, Garg A K and Zwerger W 1987 Rev. Mod. Phys. 59 1
30. Unruh W G 1995 Phys. Rev. A 51 992
31. Palma G M, Suominen K-A and Ekert A K 1996 Proc. R. Soc. A 452 567
32. DiVincenzo D P 1995 Phys. Rev. A 51 1015
33. Banerjee S and Ghosh R 2003 J. Phys. A: Math. Gen. 36 5787
34. Klauder J R 1960 Ann. Phys., NY 11 123
35. Ford G W, Lewis J T and O'Connell R F 1988 Phys. Rev. A 37 4419
36. Mavroyannis C 1978 Phys. Rev. A 18 185
37. Reik H G, Nusser H and Amarante Ribeiro L A 1982 J. Phys. A 15 3491
38. Blume M, Emery V J and Luther A 1970 Phys. Rev. Lett. 25 450
39. Chakravarty S and Leggett A J 1984 Phys. Rev. Lett. 52 5
40. Weiss U 1999 Quantum Dissipative Systems (Singapore: World Scientific)
41. Shao J and Hanggi P 1998 Phys. Rev. Lett. 81 5710 and references therein
42. Kim Y S and Noz M E 1991 Phase Space Picture of Quantum Mechanics: Group Theoretical Approach (Singapore: World Scientific) (Note that B appearing in (67) as defined in (25) is complex while in the usual discussions of squeezed states, it is real)
43. Banerjee S and Kupsch J 2005 J. Phys. A: Math. Gen. 28 5237
44. Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: Wiley)
45. Greiner W and Muller B 1989 Quantum Mechanics: Symmetries (Berlin: Springer)
46. Bargmann V 1970 Analytic Methods in Mathematical Physics ed R P Gilbert and R G Newton (New York: Gordon and Breach)
47. Kupsch J and Banerjee S 2006 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 413 (Preprint math-ph/0410049)