Search
Close
Search
Advanced Search
Search Menu

Abstract

General relation between Hermitian and non-Hermitian effective interaction theories is studied. A new representation for the Hermitian effective interaction is obtained, and its formal equivalence to Brandow's form is proved. A simple method is proposed for the calculation of the Hermitian effective interaction when the usual non-Hermitian effective interaction is known.

References

1)
Kuo
T. T. S.
. , 
Lecture Notes in Physics
, 
1981
, vol. 
144
 
Springer-Verlag
pg. 
248
 

Google Scholar

OpenURL Placeholder Text

 
2)
Andō
K.
, 
Bandō
H.
, 
Krenciglowa
E. M.
. , 
Prog. Theor. Phys.
, 
1979
Suppl. No. 65
 
.
10.1143/PTPS.65.38

Crossref

 
3)
Brandow
B. H.
. , 
Rev. Mod. Phys.
, 
1967
, vol. 
39
  
; Ann. of Phys. 57 (1970), ; Lecture Notes in Physics (Springer-Verlag), vol. 40 (1975), 1.
10.1103/RevModPhys.39.771
10.1016/0003-4916(70)90277-0

Crossref

 
4)
Kuo
T. T. S.
, 
Lee
S. Y.
, 
Ratcliff
K. F.
. , 
Nucl. Phys.
, 
1971
, vol. 
A176
  
.
10.1016/0375-9474(71)90731-7

Crossref

 
5)
Suzuki
K.
, 
Lee
S. Y.
. , 
Prog. Theor. Phys.
, 
1980
, vol. 
64
  
.
10.1143/PTP.64.2091

Crossref

 
6)
Poves
A.
, 
Zuker
A.
. , 
Phys. Reports
, 
1981
, vol. 
71
 
3
 
.
10.1016/0370-1573(81)90113-7

Crossref

 
7)
Arima
A.
. , 
Proceedings of the International Conference on Nuclear Physics
, 
1980
Berkeley
 
Nucl. Phys. A354 (1981), .
10.1016/0375-9474(81)90591-1

Google Scholar

OpenURL Placeholder Text

Crossref

 
8)
Hofmann
H. M.
, 
Starkand
Y.
, 
Krison
M. W.
. , 
Nucl. Phys.
, 
1976
, vol. 
A266
  
.
 
S. Y. Lee and K. Suzuki, Phys. Letters 91B (1980), .
10.1016/0375-9474(76)90287-6
10.1016/0370-2693(80)90423-2

Crossref

 
9)
Klein
D. J.
. , 
J. Chem. Phys.
, 
1974
, vol. 
61
  
.
10.1063/1.1682018

Crossref

 
10)
Van Vleck
J. H.
. , 
Phys. Rev.
, 
1929
, vol. 
33
  
.
10.1103/PhysRev.33.467

Crossref

 
11)
Kemble
E. C.
. , 
Fundamentals of Quantum Mechanics
, 
1937
N.Y.
Dover
pg. 
395
 

Google Scholar

OpenURL Placeholder Text

 
12)
Primas
H.
. , 
Rev. Mod. Phys.
, 
1963
, vol. 
35
  
.
 
V. Kvasnička, Czech. J. Phys. B24 (1974), 605.
10.1103/RevModPhys.35.710

Crossref

 
13)
des Cloizeaux
J.
. , 
Nucl. Phys.
, 
1960
, vol. 
20
  
.
10.1016/0029-5582(60)90177-2

Crossref

 
14)
Schucan
T.
, 
Weidenmuller
H. A.
. , 
Ann. of Phys.
, 
1972
, vol. 
73
  
; 76 (1973), .
10.1016/0003-4916(72)90315-6
10.1016/0003-4916(73)90044-4

Crossref

 

Citing Article(s):

  1. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1627–1643Unitary-Model-Operator Approach to Nuclear Effective Interaction. I Kenji Suzuki

  2. Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 1999–2013Unitary-Model-Operator Approach to Nuclear Effective Interaction. II Kenji Suzuki

  3. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 439–451Degenerate Perturbation Theory in Quantum Mechanics Kenji Suzuki and Ryoji Okamoto

  4. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1221–1238General Structure of Effective Interaction in Degenerate Perturbation Theory Kenji Suzuki and Ryoji Okamoto

  5. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 534–548Perturbation Theory for Quasidegenerate System in Quantum Mechanics Kenji Suzuki and Ryoji Okamoto

  6. Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1388–1404Unitary-Model-Operator Approach to Nuclear Many-Body Problem. I Kenji Suzuki and Ryoji Okamoto

  7. Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 127–142Unitary-Model-Operator Approach to Nuclear Many-Body Problem. II Kenji Suzuki and Ryoji Okamoto

  8. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 330–342Theory of Many-Fermion System on Unitary-Transformation Method Kenji Suzuki

  9. Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 403–408Approximate Treatment of Hermitian Effective Interactions and a Bound on the Error Ryoji Okamoto, Kenji Suzuki, P.J. Ellis, Jifa Hao, Zibang Li and T.T.S. Kuo

  10. Progress of Theoretical Physics Vol. 92 No. 6 (1994) pp. 1045–1080Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem Kenji Suzuki and Ryoji Okamoto

  11. Progress of Theoretical Physics Vol. 93 No. 5 (1995) pp. 905–917Effective Operators in Time-Independent Approach Kenji Suzuki and Ryoji Okamoto

  12. Progress of Theoretical Physics Vol. 114 No. 1 (2005) pp. 77–115Consideration of Nuclear Forces from the Viewpoint of the Renormalization Group Satoshi X. Nakamura

  13. Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 839–844Separability of a Low-Momentum Effective Nucleon-Nucleon Potential Hiroyuki Kamada, Shinichiro Fujii, Eizo Uzu, Masahiro Yamaguchi, Ryoji Okamoto and Yasuro Koike

  14. Progress of Theoretical Physics Supplement No.192 (2012) pp. 1–238Recent Developments in Nuclear Cluster Physics Hisashi Horiuchi, Kiyomi Ikeda and Kiyoshi Katō

Issue Section:
Articles
Download all slides