Quantal Poincaré-Cartan Integral Invariant for Field Theory

Authors: Zhang Ying¹; Li Ziping²

Source: International Journal of Theoretical Physics, Volume 43, Number 12, December 2004 , pp. 2423-2433(11)

Publisher: Springer

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Abstract:

On the basis of the phase-space generating function of Green function for a system with a regular/singular Lagrangian, the quantal Poincaré-Cartan integral invariant (PCII) for field theory is derived. This PCII is equivalent to the quantal canonical equations. For this case in which the Jacobian of the transformation does not equalto unity, the quantal PCII can still be derived. This case is different from the quantal first Noether theorem. The quantal PCII connected with canonical equations and canonical transformation is also discussed.

Keywords: field theory; path integral; quantal Poincaré-Cartan integral invariant

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10773-004-7708-1

Affiliations: 1: Department of Applied Physics, Beijing Polytechnic University, Beijing, 100022, Peoples Republic of China, Email: zhangying792002@yahoo.com.cn 2: Department of Applied Physics, Beijing Polytechnic University, Beijing, 100022, Peoples Republic of China,

Publication date: 2004-12-01