GAUGE TRANSFORMATIONS IN DIRAC THEORY OF CONSTRAINED SYSTEMS

被引:14
作者
GALVAO, CAP [1 ]
BOECHAT, JBT [1 ]
机构
[1] DEPEX PETROBRAS,RIO DE JANEIRO,BRAZIL
关键词
D O I
10.1063/1.528934
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
According to Dirac's prescription the generator of gauge transformations for a constrained system endowed with primary and secondary first class constraints is constructed as a linear combination of all these (first class) constraints. Using the total Hamiltonian to generate the dynamics of the system it is shown that the time evolution of the coefficients of the secondary constraints in the generator of gauge transformations is not independent but is determined by the coefficients of the primary constraints. This result is applied to some physically interesting systems. © 1990 American Institute of Physics.
引用
收藏
页码:448 / 451
页数:4
相关论文
共 8 条
[1]   SYMMETRIES IN CONSTRAINED HAMILTONIAN-SYSTEMS [J].
CASTELLANI, L .
ANNALS OF PHYSICS, 1982, 143 (02) :357-371
[2]   MODIFICATION OF DIRAC METHOD OF HAMILTONIAN ANALYSIS FOR CONSTRAINED SYSTEMS [J].
DISTEFANO, R .
PHYSICAL REVIEW D, 1983, 27 (08) :1752-1765
[3]   ON THE VALIDITY OF DIRAC CONJECTURE REGARDING 1ST-CLASS SECONDARY CONSTRAINTS [J].
GOTAY, MJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (05) :L141-L145
[4]  
Hanson A., 1976, CONSTRAINED HAMILTON
[5]   IN DEFENSE OF THE DIRAC THEORY OF CONSTRAINTS [J].
SCHAFIR, RL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (07) :L331-L336
[6]   NECESSARY AND SUFFICIENT CONDITIONS OF REDUCIBILITY OF GAUGE DEGREES OF FREEDOM WITHOUT USING GAUGE CONDITIONS [J].
SUGANO, R .
PROGRESS OF THEORETICAL PHYSICS, 1983, 70 (01) :36-50
[7]  
SUNDERMEYER K, 1982, LECTURE NOTES PHYSIC, V169
[8]  
[No title captured]