The quantum Mellin transform

New Journal of Physics

Volumn 8, Issue , 2006, Pages

  Twamley, J ^a   Milburn, G J ^b  

^a MACQUARIE UNIVERSITY   (Australia)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; MEASUREMENT THEORY; METHOD OF MOMENTS; PHASE TRANSITIONS; WAVE EQUATIONS;

HYPERBOLIC MOMENTUM; QUANTUM MELLIN TRANSFORM; RIEMANN-ZETA FUNCTION; TRANSCENDENTAL FUNCTIONS;

QUANTUM THEORY;

EID: 33845912950     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/8/12/328     Document Type: Article

References (40)

1. Thompson W 1997 Atlas for Computing Mathematical Functions (New York: Wiley)
2. Bateman H and Erdelyi A 1953 Higher Transcendental Functions vol 1 (New York: McGraw-Hill)
3. Spanier J and Oldham K B 1987 An Atlas of Functions (New York: Hemisphere)
4. Montgomery H L 1974 Proc. Int. Cong. Math. (Vancouver) vol I (Montreal: Can. Math. Congress) pp 379-81
5. Odlyzko A M 1989 Supercomputing 89: Supercomputing Structures and Computations, Proc. 4th Int. Conf. on Supercomputing ed L P Kartashev and S I Kartashev (St Petersburg, FL: International Supercomputing Institute) pp 348-52
6. Rudnick Z and Sarnak P 1996 Duke Math. J. 81 269
7. Katz N M and Sarnak P 1999 Bull. Am. Math. Soc. 36 1
8. Conrey J B 2003 Not. Am. Math. Soc. 50 341
9. Twamley J 1998 J. Phys. A: Math. Gen. 31 4811
10. Milburn G J, Chen W Y and Jones K R 1994 Phys. Rev. A 50 801
11. Carreau M, Farhi E and Gutmann S 1990 Phys. Rev. D 42 1194
12. da Luz M G E and Cheng B K 1995 Phys. Rev. A 51 1811
13. Araujo V S, Coutinho F A B and Perez J F 2004 Am. J. Phys. 72 203
14. Bonneau G, Faraut J and Valent G 2001 Am. J. Phys. 69 322
15. Neumann J v 1929 Math. Ann. 102 49
16. de Alfaro V, Fubini S and Furlan G 1976 Nuovo Cimento A 34 569
17. Jackiw R 1991 M. A. B. Beg Memorial Volume ed A Ali and P Hoodbhoy (Singapore: World Scientific)
18. van Winter C 1998 J. Math. Phys. 39 3600
19. Berry M V and Keating J P 1999 SIAM Rev. 41 236
20. Berry M V and Keating J P 1999 Supersymmetry and Trace Formulae: Chaos and Disorder ed V Lerner and J P Keating (New York: Plenum) pp 355-67
21. Sack R A 1958 Phil. Mag. 3 497
22. Gottesman D, Kitaev A and Preskill J 2001 Phys. Rev. A 64 012310
23. Glancy S and Knill E 2006 Phys. Rev. A 73 012325
24. Giovannetti V, Mancini S and Tombesi P 2001 Europhys. Lett. 54 559
25. Pinard M et al 2005 Europhys. Lett. 72 747
26. Travaglione B C and Milburn G J 2002 Phys. Rev. A 66 052322
27. Pirandola S, Mancini S, Vitali D and Tombesi P 2004 Europhys. Lett. 68 323
28. Pirandola S, Mancini S, Vitali D and Tombesi P 2006 Eur. Phys. J. D 37 283
29. Pirandola S, Mancini S, Vitali D and Tombesi P 2006 J. Phys. B: At. Mol. Opt. Phys. 39 997
30. Sneddon I N 1972 The Use of Integral Transforms (New York: McGraw Hill)
31. Paûzma V and Prev̂snajder P 1989 Eur. J. Phys. 10 35
32. Fülöp T, Cheon T and Tsutsui I 2002 Phys. Rev. A 66 052102
33. Cote R and Segev B 2003 Phys. Rev. A 67 041604(R)
34. Milburn G J and Walls D F 1983 Phys. Rev. A 28 2065
35. Imoto N, Haus H A and Yamamoto Y 1985 Phys. Rev. A 32 2287
36. Hillery M and Zubairy M S 1984 Phys. Rev. A 29 1275
37. Hillery M, Yu D and Bergou J 1994 Phys. Rev. A 49 1288
38. Agarwal G S and Banerji J 1997 Phys. Rev. A 55 R4007
39. Chaturvedi S, Dechoum K and Drummond P D 2002 Phys. Rev. A 65 033805
40. Agarwal G S 2006 Phys. Rev. Lett. 97 023601