Many-Fermion theory in expS- (or coupled cluster) form

Kummel, H.; Luhrmann, K.H.; Zabolitzky, J.G.

doi:10.1016/0370-1573(78)90081-9

Many-Fermion theory in expS- (or coupled cluster) form

H. Kummel
(
- Ruhr U., Bochum and
- Mainz, Max Planck Inst.
)
,
K.H. Luhrmann
(
- Ruhr U., Bochum
)
,
J.G. Zabolitzky
(
- Ruhr U., Bochum and
- Hannover U.
)

Feb, 1978

63 pages

Published in:

Phys.Rept. 36 (1978) 1-36

DOI:

10.1016/0370-1573(78)90081-9

reference search295 citations

Citations per year

Abstract: (Elsevier)

A detailed description of the diagram-free exp S many-body theory for fermions is given. The relation to the Goldstone diagrams is exhibited. Several necessary conditions to be observed in approximation schemes are derived and discussed.

References(67)

Figures(0)

[1]

Bound states of a many-particle system

F. Coester

- Nucl.Phys. 7 (1958) 421-424
•
DOI:
- 10.1016/0029-5582(58)90280-3

[2]

Short-range correlations in nuclear wave functions

- Nucl.Phys. 17 (1960) 477-485
•
DOI:
- 10.1016/0029-5582(60)90140-1

[3]

in: Lectures on the Many Body Problem, ed. ER. Cajaniello Press, New York, 1962)

H. Kummel

[4]

to be published

R.F. Bishop
,
K.H. Luhrmann

[5]

J. Goldstone

- Proc.Phys.Soc.A 293 (1957) 267

[6]

Elements of the Brueckner-Goldstone Theory of Nuclear Matter

B.D. Day
(
- Argonne
)

- Rev.Mod.Phys. 39 (1967) 719-744
•
DOI:
- 10.1103/RevModPhys.39.719

[7]

Perturbation Theory and the Nuclear Many Body Problem Amsterdam, 1962)

K. Kumar

[8]

H.S. Kohler

- Phys.Rept.C 18 (1975) 218

[9]

AL. Fetter and J.S. walecka, Quantum Theory of Many-Particle Systems New York, 1971)

[10]

Many-Body Problem for Strongly Interacting Particles. 2. Linked Cluster Expansion

K.A. Brueckner
(
- Indiana U.
)

- Phys.Rev. 100 (1955) 36-45
•
DOI:
- 10.1103/PhysRev.100.36

[11]

R.K. Nesbet

- Phys.Rev. 109 (1958) 1632

[12]

On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods

Jiří Čížek

- J.Chem.Phys. 45 (1966) 11, 4256-4266
•
DOI:
- 10.1063/1.1727484

[13]

J. Cizek

- Adv.Chem.Phys. 14 (1968) 35

[14]

and ii. Cizek, Proc. Summer Research Conf. in Theor. Chem., University of Colorado (J and Sons, 1972)

J. Paldus

[15]

J. Paldus
,
J. Cizek
,
I. Shavitt

- Phys.Rev.A 5 (1972) 50

[16]

Electron pair theories, preprint 1976

W. Kutzelnigg

[17]

J. Hubbard

- Proc.Roy.Soc.Lond.A 240 (1957) 539

[18]

N. Hugenholtz

- Physica 23 (1957) 481

[19]

A theorem on the single particle energy in a Fermi gas with interaction

- Physica 24 (1958) 363-376
•
DOI:
- 10.1016/S0031-8914(58)95281-9

[20]

Lectures in Theoretical Physics, Vol. II, K.T. Mahanthappa (eds.) New York, 1969)

F. Coester

[21]

Equations for linked clusters and the energy variational principle

- Nucl.Phys.A 191 (1972) 525-534
•
DOI:
- 10.1016/0375-9474(72)90629-X

[22]

preprint Bochum 1976

K.H. Luhrmann

[23]

K.H. Luhrmann

- Annals Phys. 103 (1977) 253

[24]

Theory of many-body wave functions with correlations

H. Kümmel

- Nucl.Phys.A 176 (1971) 205-218
•
DOI:
- 10.1016/0375-9474(71)90741-X

[25]

Di. Thouless, The Quantum Mechanics of Many Body Systems Press, New York. 1961)

1-25 of 67
1
2
3
25 / page