Some useful combinatorial formulas for bosonic operators

Journal of Mathematical Physics

Volumn 46, Issue 5, 2005, Pages

  Blasiak, P ^a,b   Penson, K A ^a   Solomon, A I ^a,c   Horzela, A ^b   Duchamp, G H E ^d  

^a SORBONNE UNIVERSITÉ   (France)

^b INSTITUTE OF NUCLEAR PHYSICS   (Poland)

^c OPEN UNIVERSITY   (United Kingdom)

^d LIPN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18844383170     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1904161     Document Type: Article

References (17)

1. J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, St. Louis, 1965).
2. A. N. Vasiliev, Functional Methods in Quantum Field Theory and Statistical Physics (Gordon and Breach, Amsterdam, 1998).
3. J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics (Benjamin, New York, 1968).
4. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1990).
5. W. M. Zhang, D. F. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).
6. R. M. Wilcox, J. Math. Phys. 8, 962 (1967).
7. P. Blasiak, K. A. Penson, and A. I. Solomon, Phys. Lett. A 309, 198 (2003).
8. M. A. Ḿndez, P. Blasiak, K. A. Penson (unpublished).
9. C. M. Bender, D. C. Brody, and B. K. Meister, J. Math. Phys. 40, 3239 (1999); C. M. Bender, D. C. Brody, and B. K. Meister, Twistor Newsletter 45, 36 (2000).
10. C. M. Bender, D. C. Brody, and B. K. Meister, J. Math. Phys. 40, 3239 (1999); C. M. Bender, D. C. Brody, and B. K. Meister, Twistor Newsletter 45, 36 (2000).
11. L. Comtet, Advanced Combinatorics (Reidel, Dordrecht, 1974).
12. R. Aldrovandi, Special Matrices of Mathematical Physics (World Scientific, Singapore, 2001).
13. A. D. Wilson-Gordon, V. Bužek, and P. L. Knight, Phys. Rev. A 44, 7647 (1991).
14. G. Dattoli, S. Lorenzutta, C. Cesarano, and P. E. Ricci, Integral Transforms Spec. Funct. 13, 521 (2002).
15. A. I. Solomon, J. Math. Phys. 12, 390 (1971).
16. I. M. Gessel and P. Jayawant, math.co0403086.
17. N. J. A. Sloane, Encyclopedia of Integer Sequences, 2005, http:www.research.att.com~njassequences