General formulation of quantum analysis

Reviews in Mathematical Physics

Volumn 11, Issue 2, 1999, Pages 243-265

  Suzuki, Masuo ^a  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033449711     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X9900009X     Document Type: Article

References (22)

1. E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, Amer. Soc. Math. Colloq. Publ. 31 (1957).
2. L. Nachbin, Topology on Spaces of Holomorphic Mappings, Springer-Verlag, 1969.
3. W. Rudin, Functional Analysis, McGraw Hill, 1973.
4. M. C. Joshi and R. K. Bose, Some Topics in Nonlinear Functional Analysis, Wiley, 1985.
5. K. Deimling, Non-linear Functional Analysis, Springer, 1985.
6. S. Sakai, Operator Algebra in Dynamical Systems, Cambridge Univ. Press, 1991.
7. M. V. Karasev and V. P. Maslov, Nonlinear Poisson Brackets - Geometry and Quantization (Translations of Mathematical Monographs, Vol. 119, Amer. Math. Soc., 1993).
8. A. Connes, Noncommutative Geometry, Academic Press, Inc., 1994.
9. V. E. Nazaikinskii, V. E. Shatalov and B. Yu. Sternin, Methods of Noncommutative Analysis, Walter de Gruter, 1996.
10. M. Suzuki, "Quantum Analysis - Noncommutative differential and integral calculi", Commun. Math. Phys. 183 (1997) 339.
11. M. Suzuki, Int. J. Mod. Phys. B10 (1996) 1637.
12. M. Suzuki, Phys. Lett. A224 (1997) 337.
13. M. Suzuki, Trans. of J. Soc. for Ind. and Appl. Math. (in Japanese), 7 (3) (1997) 257.
14. M. Suzuki, J. Math. Phys. 38 (1997) 1183.
15. M. Suzuki, Prog. Theor. Phys. 100 (1998) 475. See also Sec.X.4 of R. Bhatia, Matrix Analysis (Springer, 1997).
16. M. Suzuki, Prog. Theor. Phys. 100 (1998) 475. See also Sec.X.4 of R. Bhatia, Matrix Analysis (Springer, 1997).
17. M. Abe, N. Ikeda and N. Nakanishi, "Operator ordering index method for multiple commutators and Suzuki's quantum analysis", preprint.
18. M. Suzuki, Commun. Math. Phys. 163 (1994) 491, and references cited therein. See also M. Suzuki, Rev. Math. Phys. 8 (1996) 487.
19. M. Suzuki, Commun. Math. Phys. 163 (1994) 491, and references cited therein. See also M. Suzuki, Rev. Math. Phys. 8 (1996) 487.
20. R. Kubo. J. Phys. Soc. Jpn. 12 (1957) 570.
21. D. N. Zubarev, Nonequilibrium Statistical Mechanics, Nauka, 1971.
22. R. Kubo, M. Yokota and S. Nakajima, J. Phys. Soc. Jpn. 12 (1957) 1203.