A PROPOSAL OF QUANTIZATION OF SYSTEMS WITHOUT STANDARD LAGRANGIANS
BAO DE-HAI (鲍德海)a, ZHU ZHONG-YUAN (朱重远)b
a Center for Space Science and Applied Research, Academia Sinica, Beijing 100080, China; b Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
Abstract For many classical systems which disobey Helmholtz conditions and thus possess no stan-dard Lagrangian formulation on velocity phase space TQ, ordinary quantization procedures cannot be directly applied. By shifting to an enlarged space TTQ and viewing the systems as typically constrained ones, we propose a quantization method which seems to be practicable as illustrated by the examples.
Received: 25 June 1995
Revised: 26 December 1995
Accepted manuscript online:
PACS:
03.65.-w
(Quantum mechanics)
Cite this article:
BAO DE-HAI (鲍德海), ZHU ZHONG-YUAN (朱重远) A PROPOSAL OF QUANTIZATION OF SYSTEMS WITHOUT STANDARD LAGRANGIANS 1996 Acta Physica Sinica (Overseas Edition) 5 401
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