Maximum overlap, atomic coherent states and the generator coordinate method

Bozzolo, G.; Cambiaggio, M.C.; Plastino, A.

doi:10.1016/0375-9474(81)90117-2

Maximum overlap, atomic coherent states and the generator coordinate method

1981

13 pages

Published in:

Nucl.Phys.A 356 (1981) 48-60

Published: 1981

DOI:

10.1016/0375-9474(81)90117-2

reference search10 citations

Citations per year

Abstract: (Elsevier)

A version of the maximum overlap approach is presented, based on the generator coordinate method. Recourse is made to techniques developed with reference to atomic coherent states. Shape instabilities in quasi-spin two-level models are studied.

References(22)

Figures(0)

[1]

The quantum mechanics of many-body systems

D.J. Thouless

[2]

Maximum overlap and shape instabilities

H.G. Kümmel

- Nucl.Phys.A 317 (1979) 199-204
•
DOI:
- 10.1016/0375-9474(79)90460-3

[3]

H.G. Kümmel
,
K.H. Lührmann
,
J.G. Zabolitzky

- Phys.Rept.C 36 (1978) 1

[4]

A. Glick
,
H.J. Lipkin
,
N. Meshkov

- Nucl.Phys. 62 (1965) 118

[5]

S.M. Abecasis
,
A. Faessler
,
A. Plastino

- Z.Phys. 218 (1969) 394

[6]

D. Agassi
,
H.J. Lipkin
,
N. Meshkov

- Nucl.Phys. 86 (1966) 321

[7]

K.H. Lührmann

- Annals Phys. 103 (1977) 293

[8]

Some properties of coherent spin states

J.M. Radcliffe

- J.Phys.A 4 (1971) 3, 313
•
DOI:
- 10.1088/0305-4470/4/3/009

[9]

Atomic coherent states in quantum optics

- Phys.Rev.A 6 (1972) 2211-2237
•
DOI:
- 10.1103/PhysRevA.6.2211

[10]

The Quantum theory of optical coherence

Roy J. Glauber
(
- Harvard U.
)

- Phys.Rev. 130 (1963) 2529-2539
•
DOI:
- 10.1103/PhysRev.130.2529

[11]

Studies of the ground-state properties of the Lipkin-Meshkov-Glick model via the atomic coherent states

- Phys.Lett.B 76 (1978) 26-28
•
DOI:
- 10.1016/0370-2693(78)90090-4

[12]

R. Gilmore
,
D.H. Feng

- Nucl.Phys.A 301 (1978) 184

[12]

Variational description of the nuclear free energy

- Phys.Rev.C 19 (1979) 1119-1126
•
DOI:
- 10.1103/PhysRevC.19.1119

[13]

Time-dependent Hartree-Fock dynamics and phase transition in Lipkin-Meshkov-Glick model

- Phys.Rev.C 21 (1980) 1098-1103
•
DOI:
- 10.1103/PhysRevC.21.1098

[14]

Nuclear constitution and the interpretation of fission phenomena

David Lawrence Hill
(
- Vanderbilt U. and
- Los Alamos
)
,
John Archibald Wheeler
(
- Princeton U. and
- Los Alamos
)

- Phys.Rev. 89 (1953) 1102-1145
•
DOI:
- 10.1103/PhysRev.89.1102

[15]

J.J. Griffin
,
J.A. Wheeler

- Phys.Rev. 108 (1957) 381

[16]

The generator coordinate theory of collective motion

- Nucl.Phys.A 120 (1968) 59-93
•
DOI:
- 10.1016/0375-9474(68)90059-6

[17]

The generator-coordinate theory as a flexible formulation of the many-body Schrödinger equation

Chun Wa Wong

- Nucl.Phys.A 147 (1970) 545-562
•
DOI:
- 10.1016/0375-9474(70)90599-3

[18]

N. Onishi
,
S. Yoshida

- Nucl.Phys. 80 (1966) 367

[19]

Rotational Spectra of the Ground-State Bands of Even Nuclei by the Generator-Coordinate Method

Naoki Onishi
(
- Florida State U.
)
,
Raymond K. Sheline
(
- Florida State U.
)
,
Shiro Yoshida
(
- Rutgers U., Piscataway
)

- Phys.Rev.C 2 (1970) 1304-1318
•
DOI:
- 10.1103/PhysRevC.2.1304

[20]

A. Faessler
,
F. Grümmer
,
A. Plastino

- Z.Phys. 260 (1973) 305

[21]

B. Johansson
,
J. da Providencia

- Physica B 94 (1978) 152