On the invariant variational principle for Sturm-Liouville equation, linear and nonlinear Dirac system

被引:0
|
作者
Khater, AH [1 ]
Callebaut, DK
Ramady, AG
Abdul-Aziz, SF
机构
[1] Cairo Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt
[2] Univ Instelling Antwerp, Dept Phys, B-2610 Antwerp, Belgium
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS | 1997年 / 110卷 / 11期
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中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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-parameter group of transformations (Lie group). Finally, conservation laws are obtained through the applications of the invariant variational principle technique and classes of solutions are given in some cases.
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页码:1297 / 1311
页数:15
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