Transformations of Laguerre 2D polynomials with applications to quasiprobabilities

Journal of Physics A: Mathematical and General

Volumn 32, Issue 17, 1999, Pages 3179-3199

  Wünsche, Alfred ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039657133     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/17/309     Document Type: Article

References (52)

1. Wünsche A 1998 Acta Phys. Slovaca 48 385
2. Wünsche A 1998 J. Phys. A: Math. Gen. 31 8267
3. Wigner E 1932 Phys. Rev. 40 749
4. Husimi K 1940 Proc. Phys. Math. Soc. Japan 22 264
5. Moyal J E 1949 Proc. Cambridge Phys. Soc. 45 99
6. Glauber R J 1963 Phys. Rev. 131 2766
7. Sudarshan E C G 1963 Phys. Rev. Lett. 10 277
8. Kano Y 1965 J. Math. Phys. 6 1913
9. Cahill K E and Glauber R J 1969 Phys. Rev. 177 1857
10. Agarwal G S and Wolf E 1970 Phys. Rev. D 2 2161
11. Klauder J R and Sudarshan E C G 1968 Fundamentals of Quantum Optics (New York: Benjamin)
12. Peřina J 1971 Coherence of Light (London: Van Nostrand)
13. Peřina J 1991 Quantum Statistics of Linear and Nonlinear Optical Phenomena 2nd edn (Dordrecht: Kluwer)
14. Tatarski V J 1983 Uspekhi Fiz. Nauk 139 587 (in Russian)
15. Hillery M, O'Connel R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
16. Klauder J R and Skagerstam Bo-St 1985 Coherent States (Singapore: World Scientific) (preface)
17. Gardiner C W 1985 Handbook of Stochastic Methods 2nd edn (Berlin: Springer)
18. Kim Y S and Noz M E 1991 Phase Space Picture of Quantum Mechanics (Singapore: World Scientific)
19. Carmichael H 1993 An Open Systems Approach to Quantum Optics (Berlin: Springer)
20. Vogel W and Welsch D-G 1994 Quantum Optics (Berlin: Akademie)
21. Wünsche A 1990 Quantum Opt. 2 453
22. Peřina J and Mišta L 1968 Phys. Lett. A 27 217
23. Peřina J and Mišta L 1969 Ann. Phys., NY 22 372
24. Lukš A 1976 Czech J. Phys. B 26 1095
25. Richter Th 19987. Mod. Opt. 45 1735
26. Bateman H and Erdélyi A 1953 Higher Transcendental Functions vol II (New York: McGraw-Hill)
27. Dodonov V V and Man'ko V I 1994 J. Math. Phys. 35 4277
28. Dodonov V V 1994 J. Phys. A: Math. Gen. 27 6191
29. Dattoli G, Torre A, Lorenzutta S, Maino G and Chiccoli C 1994 3rd Int. Workshop Squeezed States and Uncertainty Relations (Baltimore) NASA Conference Publication 3270
30. Dattoli G and Torre A 1995 Nuovo Cimenta B 110 1197
31. Man'ko V I and Wünsche A 1997 Quantum Semiclass. Opt. 9 381
32. Hong-yi Fan and Yue Fan 1998 Phys. Lett. A 246 242
33. Lebedev N N 1965 Special Functions and Their Applications, (Englewood Cliffs, NY: Prentice Hall)
34. Gradshteyn I S and Ryzhik I M 1963 Tables of Series, Products and Integrals (4th edn) (Moscow: Nauka)
35. Abramowitz M and Stegun I 1965 Handbook of Mathematical Functions (New York: Dover)
36. Wünsche A 1996 Quantum Semiclass. Opt. 8 343
37. Leonhardt U 1997 Measuring the Quantum State of Light, (Cambridge: Cambridge University Press)
38. Fan Hong-yi, Liu Zu-wei and Ruan Tu-nan 1984 Commun. Theor. Phys. (Beijing) 3 175
39. Fernández F M 1998 Phys. Lett. A 237 189
40. Nieto M M and Truax D R 1995 Phys. Lett. A 208 8
41. Wünsche A 1991 Quantum Opt. 3 359
42. Gel'fand I M and Shilov G E 1964 Generalized functions, Properties and Operatios vol 1 (Boston, MA: Academic)
43. Schwanz L 1966 Mathematical Methods for the Physical Sciences (Reading, MA: Addison-Wesley)
44. Vladimirov V S 1971 Equations of Mathematical Physics, (New York: Dekker)
45. Lee C T 1992 Phys. Rev. A 46 6097
46. Herzog U 1996 Phys. Rev. A 53 2889
47. Wünsche A and Bužek V 1997 Quantum Semiclass. Opt. 9 631
48. Paris MGA 1996 Phys. Rev. A 53 2658
49. Morse Ph M and Feshbach H 1953 Methods of Theoretical Physics vol 1 (New York: McGraw-Hill)
50. Courant R and Hilbert D 1993 Methoden der Mathematischen Physik, 4. Auflage (Berlin: Springer) (1st edn-1924)
51. Schiff L 1949 Quantum Mechanics (New York: McGraw-Hill)
52. Sommerfeld A 1951 Atombau und Spektrallinien, Band II (Braunschweig: Vieweg)