中国物理B ›› 1996, Vol. 5 ›› Issue (6): 401-408.doi: 10.1088/1004-423X/5/6/001

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A PROPOSAL OF QUANTIZATION OF SYSTEMS WITHOUT STANDARD LAGRANGIANS

鲍德海1, 朱重远2   

  1. (1)Center for Space Science and Applied Research, Academia Sinica, Beijing 100080, China; (2)Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
  • 收稿日期:1995-06-25 修回日期:1995-12-26 出版日期:1996-06-20 发布日期:1996-06-20

A PROPOSAL OF QUANTIZATION OF SYSTEMS WITHOUT STANDARD LAGRANGIANS

BAO DE-HAI (鲍德海)a, ZHU ZHONG-YUAN (朱重远)b   

  1. a Center for Space Science and Applied Research, Academia Sinica, Beijing 100080, China; b Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China
  • Received:1995-06-25 Revised:1995-12-26 Online:1996-06-20 Published:1996-06-20

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摘要： 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.

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.

中图分类号:  (Quantum mechanics)

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