APPLICATION OF THE IMAGINARY TIME STEP METHOD TO THE SOLUTION OF THE STATIC HARTREE-FOCK PROBLEM - INSPIRE

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APPLICATION OF THE IMAGINARY TIME STEP METHOD TO THE SOLUTION OF THE STATIC HARTREE-FOCK PROBLEM

1979

13 pages

Published in:

Nucl.Phys.A 342 (1980) 111-123

Published: 1980

DOI:

10.1016/0375-9474(80)90509-6

View in:

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Abstract: (Elsevier)

A method of solution of the static Hartree-Fock problem is proposed. The method, based upon the extension of the method of solution of the time-dependent Hartree-Fock problem to imaginary time, promises to be more efficient, and applicable to more complex systems than previously proposed numerical methods.

QUANTUM MECHANICS
APPROXIMATION: HARTREE-FOCK
MODEL: OSCILLATOR
MATHEMATICAL METHODS
NUMERICAL CALCULATIONS

References(15)

Figures(0)

[1]

Hartree-Fock Calculations with Skyrme's Interaction. 2. Axially Deformed Nuclei

D. Vautherin
(
- Imperial Coll., London and
- MIT and
- Orsay, IPN
)

- Phys.Rev.C 7 (1973) 296-316
•
DOI:
- 10.1103/PhysRevC.7.296

[2]

solution of Hartree-Fock equations for axially symmetric nuclei

Pervez Hoodbhoy
(
- MIT, LNS
)
,
John W. Negele
(
- MIT, LNS
)

- Nucl.Phys.A 288 (1977) 23-44
•
DOI:
- 10.1016/0375-9474(77)90079-3

[3]

Hartree-Fock calculations with Skyrme's interaction. 1. Spherical nuclei

D. Vautherin
(
- MIT, LNS
)
,
D.M. Brink
(
- Oxford U.
)

- Phys.Rev.C 5 (1972) 626-647
•
DOI:
- 10.1103/PhysRevC.5.626

[4]

Nuclear deformation energy curves with the constrained Hartree-Fock method

- Nucl.Phys.A 203 (1973) 433-472
•
DOI:
- 10.1016/0375-9474(73)90357-6

[5]

One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation

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•
DOI:
- 10.1103/PhysRevC.13.1226

[6]

Time-dependent Hartree-Fock calculations for O-16 + O-16 and Ca-40 + Ca-40 reactions

S.E. Koonin
(
- Caltech, Kellogg Lab
)
,
K.Thomas R. Davies
(
- Oak Ridge
)
,
V. Maruhn-Rezwani
(
- Oak Ridge
)
,
H. Feldmeier
(
- Oak Ridge
)
,
S.J. Krieger
(
- Oak Ridge
)

et al.

- Phys.Rev.C 15 (1977) 1359-1374
•
DOI:
- 10.1103/PhysRevC.15.1359

[7]

Three-dimensional time-dependent Hartree-Fock calculations of O-16 + O-16 and Ca-40 + Ca-40 fusion cross sections

P. Bonche
(
- Saclay
)
,
B. Grammaticos
(
- Saclay
)
,
S. Koonin
(
- Copenhagen U. and
- Caltech, Kellogg Lab
)

- Phys.Rev.C 17 (1978) 1700-1705
•
DOI:
- 10.1103/PhysRevC.17.1700

[8]

Three-dimensional time-dependent Hartree-Fock calculations: Application to O-16 + O-16 collisions

H. Flocard
(
- UC, Berkeley
)
,
S.E. Koonin
(
- Caltech, Kellogg Lab
)
,
M.S. Weiss
(
- LLNL, Livermore
)

- Phys.Rev.C 17 (1978) 1682-1699
•
DOI:
- 10.1103/PhysRevC.17.1682

[9]

A direct determination of the density matrix in a nuclear system

- Phys.Lett.B 72 (1977) 27-29
•
DOI:
- 10.1016/0370-2693(77)90054-5

[9]

M. Di Toro
,
F. Duggan

- Z.Phys.A 292 (1979) 213

[10]

Time-dependent Hartree-Fock calculation of fusion cross sections for the reactions O-18+ C-12 and O-16+ C-12

S.J. Krieger
(
- Illinois U., Chicago
)
,
K.Thomas R. Davies
(
- Oak Ridge
)

- Phys.Rev.C 20 (1979) 167-170
•
DOI:
- 10.1103/PhysRevC.20.167

[*]

see also refs. 7, 8

[11]

A microscopic description of nuclear molecules: Application to the 12 C + 12 C system

- Nucl.Phys.A 331 (1979) 213-236
•
DOI:
- 10.1016/0375-9474(79)90310-5

[12]

A microscopic calculation of potentials and inertia parameters for heavy ion collisions

- Nucl.Phys.A 339 (1980) 336-352
•
DOI:
- 10.1016/0375-9474(80)90098-6

[13]

P.H. Heenen
,
P. Bonche
,
H. Flocard