A new expansion of the Heisenberg equation of motion with projection operator

Progress of Theoretical Physics

Volumn 104, Issue 3, 2000, Pages 575-594

  Koide, Tomoi ^a   Maruyama, Masahiro ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347545     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.104.575     Document Type: Article

References (23)

1. N. Hashitsume, F. Shibata and M. Shingū, J. Stat. Phys. 17 (1977), 155. F. Shibata, Y. Takahashi and N. Hashitsume, J. Stat. Phys. 17 (1977), 171. F. Shibata and N. Hashitsume, J. Phys. Soc. Jpn. 44 (1978), 1435. S. Chaturvedi and F. Shibata, Z. Phys. B35 (1979), 297. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. 49 (1980), 891.
2. N. Hashitsume, F. Shibata and M. Shingū, J. Stat. Phys. 17 (1977), 155. F. Shibata, Y. Takahashi and N. Hashitsume, J. Stat. Phys. 17 (1977), 171. F. Shibata and N. Hashitsume, J. Phys. Soc. Jpn. 44 (1978), 1435. S. Chaturvedi and F. Shibata, Z. Phys. B35 (1979), 297. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. 49 (1980), 891.
3. N. Hashitsume, F. Shibata and M. Shingū, J. Stat. Phys. 17 (1977), 155. F. Shibata, Y. Takahashi and N. Hashitsume, J. Stat. Phys. 17 (1977), 171. F. Shibata and N. Hashitsume, J. Phys. Soc. Jpn. 44 (1978), 1435. S. Chaturvedi and F. Shibata, Z. Phys. B35 (1979), 297. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. 49 (1980), 891.
4. N. Hashitsume, F. Shibata and M. Shingū, J. Stat. Phys. 17 (1977), 155. F. Shibata, Y. Takahashi and N. Hashitsume, J. Stat. Phys. 17 (1977), 171. F. Shibata and N. Hashitsume, J. Phys. Soc. Jpn. 44 (1978), 1435. S. Chaturvedi and F. Shibata, Z. Phys. B35 (1979), 297. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. 49 (1980), 891.
5. N. Hashitsume, F. Shibata and M. Shingū, J. Stat. Phys. 17 (1977), 155. F. Shibata, Y. Takahashi and N. Hashitsume, J. Stat. Phys. 17 (1977), 171. F. Shibata and N. Hashitsume, J. Phys. Soc. Jpn. 44 (1978), 1435. S. Chaturvedi and F. Shibata, Z. Phys. B35 (1979), 297. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. 49 (1980), 891.
6. N. Hashitsume and F. Shibata, Prog. Theor. Phys. Suppl. No. 69 (1980), 55. F. Shibata, Y. Hamano and N. Hashitsume, J. Phys. Soc. Jpn. 50 (1981), 2166. F. Shibata and C. Uchiyama, J. Phys. Soc. Jpn. 62 (1993), 381; Physica A214 (1995), 242.
7. N. Hashitsume and F. Shibata, Prog. Theor. Phys. Suppl. No. 69 (1980), 55. F. Shibata, Y. Hamano and N. Hashitsume, J. Phys. Soc. Jpn. 50 (1981), 2166. F. Shibata and C. Uchiyama, J. Phys. Soc. Jpn. 62 (1993), 381; Physica A214 (1995), 242.
8. N. Hashitsume and F. Shibata, Prog. Theor. Phys. Suppl. No. 69 (1980), 55. F. Shibata, Y. Hamano and N. Hashitsume, J. Phys. Soc. Jpn. 50 (1981), 2166. F. Shibata and C. Uchiyama, J. Phys. Soc. Jpn. 62 (1993), 381; Physica A214 (1995), 242.
9. N. Hashitsume and F. Shibata, Prog. Theor. Phys. Suppl. No. 69 (1980), 55. F. Shibata, Y. Hamano and N. Hashitsume, J. Phys. Soc. Jpn. 50 (1981), 2166. F. Shibata and C. Uchiyama, J. Phys. Soc. Jpn. 62 (1993), 381; Physica A214 (1995), 242.
10. H. Mori, Prog. Theor. Phys. 33 (1965), 423. S. Nakajima, Prog. Theor. Phys. 20 (1958), 948. R. Zwanzig, J. Chem. Phys. 33 (1960), 1338. J. Müller and J. Rau, Phys. Lett. B386 (1996), 274.
11. H. Mori, Prog. Theor. Phys. 33 (1965), 423. S. Nakajima, Prog. Theor. Phys. 20 (1958), 948. R. Zwanzig, J. Chem. Phys. 33 (1960), 1338. J. Müller and J. Rau, Phys. Lett. B386 (1996), 274.
12. H. Mori, Prog. Theor. Phys. 33 (1965), 423. S. Nakajima, Prog. Theor. Phys. 20 (1958), 948. R. Zwanzig, J. Chem. Phys. 33 (1960), 1338. J. Müller and J. Rau, Phys. Lett. B386 (1996), 274.
13. H. Mori, Prog. Theor. Phys. 33 (1965), 423. S. Nakajima, Prog. Theor. Phys. 20 (1958), 948. R. Zwanzig, J. Chem. Phys. 33 (1960), 1338. J. Müller and J. Rau, Phys. Lett. B386 (1996), 274.
14. L. V. Keldysh, Sov. Phys. -JETP. 20 (1965), 1018.
15. J. Schwinger, J. Math. Phys. 2 (1961), 407.
16. R. P. Feynman and F. L. Vernon, Ann. of Phys. 24 (1963), 118.
17. M. Morikawa, Phys. Rev. D33 (1986), 3607. M. Gleiser and R. O. Ramos, Phys. Rev. D50 (1994), 2441. C. Greiner and B. Müller, Phys. Rev. D55 (1997), 1026.
18. M. Morikawa, Phys. Rev. D33 (1986), 3607. M. Gleiser and R. O. Ramos, Phys. Rev. D50 (1994), 2441. C. Greiner and B. Müller, Phys. Rev. D55 (1997), 1026.
19. M. Morikawa, Phys. Rev. D33 (1986), 3607. M. Gleiser and R. O. Ramos, Phys. Rev. D50 (1994), 2441. C. Greiner and B. Müller, Phys. Rev. D55 (1997), 1026.
20. T. Koide, M. Maruyama and F. Takagi, Prog. Theor. Phys. 101 (1999), 373.
21. J. Müller and J. Rau, Phys. Lett. B386 (1996), 274.
22. C. Uchiyama and F. Shibata, Phys. Rev. E60 (1999), 2636.
23. E. Celeghini, M. Rasetti and G. Vitiello, Ann. of Phys. 215 (1992), 156.