ON THE INVARIANT VARIATIONAL PRINCIPLE FOR STURM-LIOUVILLE EQUATION, LINEAR AND NONLINEAR DIRAC SYSTEM

Authors
KHATER AH CALLEBAUT DK RAMADY AG ABDULAZIZ SF
Citation
Ah. Khater et al., ON THE INVARIANT VARIATIONAL PRINCIPLE FOR STURM-LIOUVILLE EQUATION, LINEAR AND NONLINEAR DIRAC SYSTEM, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 110(11), 1997, pp. 1297-1311
Citations number
30
Journal title
Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields → ACNP
ISSN journal
11241861
Volume
110
Issue
11
Year of publication
1997
Pages
1297 - 1311
Database
ISI
SICI code
1124-1861(1997)110:11<1297:OTIVPF>2.0.ZU;2-H
Abstract
The functional integrals corresponding to Sturm-Liouville equation and linear as well as nonlinear Dirac system are derived. The invariance of the resulting functional integrals are studied under a one-paramete r group of transformations (Lie group). Finally, conservation laws are obtained through the applications of the invariant variational princi ple technique and classes of solutions are given in some cases.