Relativistic Theory of Fermions and Classical Fields on a Collocation Lattice - INSPIRE

DataBETA

Relativistic Theory of Fermions and Classical Fields on a Collocation Lattice

C. Bottcher
(
- Oak Ridge
)
,
M.R. Strayer
(
- Oak Ridge
)

1987

48 pages

Published in:

Annals Phys. 175 (1987) 64-111

DOI:

10.1016/0003-4916(87)90056-X

View in:

OSTI Information Bridge Server

reference search16 citations

Citations per year

Abstract: (Elsevier)

We present a novel numerical method for solving dynamical strong field problems in quantum mechanics and classical field theory based on expansion of functions in terms of splines. The method differs from traditional approaches by the introduction of a mapping onto a collocation lattice, which is generally nonuniform and time dependent depending on the particular physical application. This approach results in a set of finite matrix transformations of a type which can be evaluated rapidly on supercomputers possessing either vector or matrix coprocessors. As an example of the method, we present a study of the relativistic quantum-mechanical many-electron problem interacting via very strong time-dependent classical fields.

FIELD THEORETICAL MODEL: TWO-DIMENSIONAL
Dirac equation
FIELD EQUATIONS: SOLUTION
DIFFERENTIAL EQUATIONS: SOLUTION
APPROXIMATION: LATTICE
SCHROEDINGER EQUATION
Klein-Gordon equation
APPROXIMATION: HARTREE-FOCK
PAIR PRODUCTION
SCATTERING AMPLITUDE

References(38)

Figures(0)

[1]

Relaxation Methods for Gauge Field Equilibrium Equations

- Rev.Mod.Phys. 56 (1984) 1,
•
DOI:
- 10.1103/RevModPhys.56.1

[2]

An Introduction to Lattice Gauge Theory and Spin Systems

John B. Kogut
(
- Illinois U., Urbana
)

- Rev.Mod.Phys. 51 (1979) 659
•
DOI:
- 10.1103/RevModPhys.51.659

[3]

The mean-field theory of nuclear structure and dynamics

John W. Negele
(
- MIT, LNS
)

- Rev.Mod.Phys. 54 (1982) 913-1015
•
DOI:
- 10.1103/RevModPhys.54.913

[4]

Atomic Physics 8

J. Lindgren
,
A. Rosen
,
S. Svanberg
,
L. Armstrong

[5]

Ergodic theory of chaos and strange attractors

J.-P. Eckmann
(
- Geneva U.
)
,
D. Ruelle
(
- IHES, Bures-sur-Yvette
)

- Rev.Mod.Phys. 57 (1985) 617-656,
- Rev.Mod.Phys. 57 (1985) 1115-1115 (addendum)
•
DOI:
- 10.1103/RevModPhys.57.617

[6]

J.M. Drouffe
,
C. Itzykson

- Phys.Rept.C 38 (1978) 133

[7]

Homology Theory of Lattice Fermion Doubling

Jeffrey M. Rabin
(
- Yale U.
)

- Nucl.Phys.B 201 (1982) 315-332
•
DOI:
- 10.1016/0550-3213(82)90434-5

[8]

DISCRETE TIME QUANTUM MECHANICS

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma State U.
)
,
David H. Sharp
(
- Los Alamos
)
,
L.M. Simmons, Jr.
(
- Los Alamos
)
,
Richard Stong
(
- Washington U., St. Louis
)

- Phys.Rev.D 32 (1985) 1476
•
DOI:
- 10.1103/PhysRevD.32.1476

[9]

Gauge Invariance and the Finite Element Solution of the Schwinger Model

Carl M. Bender
(
- Washington U., St. Louis
)
,
Kimball A. Milton
(
- Oklahoma State U.
)
,
David H. Sharp
(
- Los Alamos
)

- Phys.Rev.D 31 (1985) 383,
- Phys.Rev.D 32 (1985) 1593 (erratum)
•
DOI:
- 10.1103/PhysRevD.31.383

[10]

A Practical Guide To Splines

C. de Boor

[11]

Heavy Ion Science,Vol.5

J. Reinhardt
,
W. Greiner

[12]

Heavy Ion Science,Vol.5

J.S. Greenberg
,
P. Vincent

[13]

C. Bottcher
,
M.R. Strayer

[14]

H. Gould

[15]

Numerical Solution of the Time-Dependent Dirac Equation with Application to Positron Production in Heavy-Ion Collisions

C. Bottcher
(
- Oak Ridge
)
,
M.R. Strayer
(
- Oak Ridge
)

- Phys.Rev.Lett. 54 (1985) 669-672
•
DOI:
- 10.1103/PhysRevLett.54.669

[16]

Anomalous positron peaks from supercritical collisions systems

et al.

- Phys.Rev.Lett. 54 (1985) 1761-1764
•
DOI:
- 10.1103/PhysRevLett.54.1761

[17]

Narrow positron lines from U - U and U - Th collisions

M. Clemente
(
- Munich, Tech. U.
)
,
E. Berdermann
(
- Munich, Tech. U.
)
,
P. Kienle
(
- Munich, Tech. U.
)
,
Haralabos Tsertos
(
- Munich, Tech. U.
)
,
W. Wagner
(
- Munich, Tech. U.
)

et al.

- Phys.Lett.B 137 (1984) 41-46
•
DOI:
- 10.1016/0370-2693(84)91102-X

[18]

SPONTANEOUS SYMMETRY BREAKING IN THE PRESENCE OF STRONG FIELDS

- Phys.Lett.B 149 (1984) 455-458
•
DOI:
- 10.1016/0370-2693(84)90365-4

[19]

Phenomenology of New Particle Production in Heavy Ion Collisions

- Phys.Rev.Lett. 55 (1985) 461
•
DOI:
- 10.1103/PhysRevLett.55.461

[20]

A. Schafer
,
J. Reinhardt
,
B. Muller
,
W. Greiner
,
G. Soff

- J.Phys.G 11 (1985) 169

[21]

W. Lichten
,
A. Robatino

- Phys.Rev.Lett. 54 (1985) 781

[22]

unpublished

L.C.R. Wijewardhana
,
A. Chodos

[23]

Adv.Nucl.Phys.,Vol.16

B. Serot
,
J.D. Walecka

[24]

RELATIVISTIC NUCLEAR STRUCTURE PHYSICS

- Phys.Rept. 100 (1983) 327-401,
- Phys. Rep. 100 ( 1983) 327-401
•
DOI:
- 10.1016/0370-1573(83)90060-1

[25]

TIME DEPENDENT DIRAC EQUATION WITH RELATIVISTIC MEAN FIELD DYNAMICS APPLIED TO HEAVY ION SCATTERING

R.Y. Cusson
(
- Darmstadt, GSI and
- Duke U.
)
,
P.G. Reinhard
(
- Erlangen - Nuremberg U.
)
,
J.J. Molitoris
(
- Michigan State U. and
- Frankfurt U.
)
,
Horst Stoecker
(
- Michigan State U. and
- Frankfurt U.
)
,
W. Greiner
(
- Michigan State U. and
- Frankfurt U.
)

et al.

- Phys.Rev.Lett. 55 (1985) 2786-2789,
- Phys. Rev. Lett. 55 ( 1985) 2786-2789
•
DOI:
- 10.1103/PhysRevLett.55.2786

1-25 of 38
1
2
25 / page