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Prog. Theor. Phys. Vol. 93 No. 5 (1995) pp. 905-917
Effective Operators in Time-Independent Approach
Kenji Suzuki and
Ryoji Okamoto
Department of Physics, Kyusyu Institute of Technology, Kitakyushu 804
(Received February 20, 1995)
Abstract:
An effective operator Θeff is defined so that it operates in a restricted model space and gives the same matrix element as that of the original operator Θ between the corresponding true eigenstates. The Θeff is determined dependently on the model-space eigenstates, and therefore various types of Θeff are possible. General solutions for Θeff are derived in the time-independent and algebraic approach. These Θeff contain the usual non-Hermitian and Hermitian effective operators as special cases. The explicit expansion form for Θeff is given by extending the \hatQ-box formalism of Kuo et al. developed in the derivation of the effective interaction to the problem of constructing the effective operator.
URL :
http://ptp.ipap.jp/link?PTP/93/905/
DOI : 10.1143/PTP.93.905
References:
-
B. H. Brandow, Rev. Mod. Phys. 39 (1967), 771[APS].
- B. R. Barrett and M. W. Kirson, Advances in Nuclear Physics, vol. 6, ed. M. Baranger and E. Vogt (Plenum, New York,1973), p. 219.
- T. T. S. Kuo, Ann. Rev. Nucl. Sci. 24 (1974), 101.
-
P. J. Ellis and E. Osnes, Rev. Mod. Phys. 49 (1977), 777[APS].
-
R. J. Bartlett, J. Phys. Chem. 93 (1989), 1697[CrossRef].
- T. T. S. Kuo and E. Osnes, Lecture Notes in Physics, vol. 364 (Springer, Berlin, 1990).
-
D. J. Klein, J. Chem. Phys. 61 (1974), 786[CrossRef].
- B. H. Brandow, Lecture Notes in Physics, vol. 40 (Springer, Berlin, 1975), 1.
- K. Suzuki and R. Okamoto, Prog. Theor. Phys. 70 (1983), 439[PTP]; 71 (1984), 1221.
- K. Suzuki and R. Okamoto, Prog. Theor. Phys. 72 (1984), 534[PTP].
- V. Hurtubise and K. F. Freed, Adv. Chem. Phys. 83 (1993), 465.
-
I. Shavitt and L. T. Redmon, J. Chem. Phys. 73 (1980), 5711[CrossRef].
- P. Westhaus, Int. J. Quantum Chem. 20 (1981), 1243.
- K. Suzuki, Prog. Theor. Phys. 68 (1982), 246[PTP].
- T. T. S. Kuo, S. Y. Lee and K. F. Ratcliff, Nucl. Phys. A176 (1971), 65.
- T. T. S. Kuo, F. Krmpotić, K. Suzuki and R. Okamoto, Nucl. Phys. A582 (1994), 205.
- P. Navratil, H. B. Geyer and T. T. S. Kuo, Phys. Lett. B315 (1993), 1.
- P. Navratil and H. B. Geyer, Nucl. Phys. A556 (1993), 165.
-
V. Hurtubise, J. Chem. Phys. 99 (1993), 265[CrossRef].
-
V. Hurtubise and K. F. Freed, J. Chem. Phys. 99 (1993), 7946[CrossRef].
-
V. Hurtubise and K. F. Freed, J. Chem. Phys. 100 (1994), 4955[CrossRef].
- K. Suzuki and S. Y. Lee, Prog. Theor. Phys. 80 (1980), 2091[PTP].
- E. M. Krenciglowa and T. T. S. Kuo, Nucl. Phys. A235 (1974), 171.
- D. B. Stout and T. T. S. Kuo, Nucl. Phys. A526 (1991), 90.
- T. T. S. Kuo, P. J. Ellis, J. Hao, Z. Li, K. Suzuki, R. Okamoto and H. Kumagai, Nucl. Phys. A560 (1993), 621.
- K. Suzuki, R. Okamoto, P. J. Ellis and T. T. S. Kuo, Nucl. Phys. A567 (1994), 576.
