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On the boundary conditions as Dirac constraints

  • Jian JingEmail author
theoretical physics

Abstract.

In this paper, the canonical quantization of singular Lagrangian defined in a finite volume is discussed by studying a 1 + 1 dimensional free Schrödinger field. We take the boundary conditions (BCs) as Dirac constraints, and show that those BCs as well as the intrinsic constraints (which are introduced by the singularities of Lagrangian) form the second class constraints. The quantization is performed canonically.

Keywords

Boundary Condition Field Theory Elementary Particle Quantum Field Theory Finite Volume 
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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Department of Physics and ElectronicSchool of Science, Beijing University of Chemical TechnologyBeijingP.R. China

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