Exact Green function for a Dirac particle in a weak gravitational plane wave field. Alternative path integral approach

被引：0

作者：

Ould-Lahoucine, H. K. ^{[1
]}

Chetouani, L. ^{[2
]}

机构：

[1] Univ Ferhat Abbas, Dept Phys, Setif, Algeria

[2] Univ Constantine, Fac Sci Exactes, Dept Phys, Constantine, Algeria

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 07期

关键词：

D O I：

10.1063/1.4736720

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact Green function for a Dirac particle in interaction with a weak gravitational plane wave field is obtained throughout an alternative path integral approach. In addition, a canonical transformation is obtained so that the generating function is showed to be a solution to the Hamilton-Jacobi equation for spin zero particle. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4736720]

引用

页数：11

共 13 条

[1] [Anonymous], 1972, Gravitation and Cosmology, Principles and Applications of the General Theory of Relativity
[2] Scalar and spinning particles in an external linearized gravitational wave field
Barducci, A
Giachetti, R
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (07): : 1615 - 1624
[3] CLASSICAL-MODEL OF THE DIRAC ELECTRON
BARUT, AO
ZANGHI, N
[J]. PHYSICAL REVIEW LETTERS, 1984, 52 (23) : 2009 - 2012
[4] BARUT AO, 1989, PHYS REP, V172, P3
[5] PATH-INTEGRAL DERIVATION OF THE DIRAC PROPAGATOR
BARUT, AO
DURU, IH
[J]. PHYSICAL REVIEW LETTERS, 1984, 53 (25) : 2355 - 2358
[6] PARTICLE SPIN DYNAMICS AS GRASSMANN VARIANT OF CLASSICAL MECHANICS
BEREZIN, FA
MARINOV, MS
[J]. ANNALS OF PHYSICS, 1977, 104 (02) : 336 - 362
[7] PATH INTEGRAL FOR PARTICLES OF SPIN ZERO AND 1/2 IN THE FIELD OF AN ELECTROMAGNETIC PLANE-WAVE
BOUDJEDAA, T
CHETOUANI, L
GUECHI, L
HAMMANN, TF
[J]. PHYSICA SCRIPTA, 1992, 46 (04): : 289 - 294
[8] SPACE-TIME APPROACH TO NON-RELATIVISTIC QUANTUM MECHANICS
FEYNMAN, RP
[J]. REVIEWS OF MODERN PHYSICS, 1948, 20 (02) : 367 - 387
[9] Worldline path integrals for a Dirac particle in a weak gravitational plane wave
Haouat, S.
Chetouani, L.
[J]. EUROPEAN PHYSICAL JOURNAL C, 2008, 53 (02): : 289 - 294
[10] Exact Green Function for a Dirac Particle in Presence of Two Orthogonal Plane Wave Fields. Path Integral Derivation
Ould-Lahoucine, H. K.
Chetouani, L.
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2012, 51 (07) : 2208 - 2219

← 1 2 →