International Journal of Theoretical Physics

, Volume 29, Issue 9, pp 909–933 | Cite as

Quantization in curvilinear coordinates

  • Lee Ting Hsang
  • An Chong Shan
  • Zhai Tian Yi


Two prescriptions often used to find Hermitian operators corresponding to classical quantities can be removed. Components of momentum are of three types, linear momentumP 〈q〉 k canonical momentumP(q)k and generalized momentumP q k . Using metrical geometry, their mutual relations are established. The operatorsP 〈q〉 k andP(q)k are given by substituting quantum commutation brackets for classical Poisson brackets. The relations among classical quantities are divided into two types according to whether they have physical meaning. Those which have physical meaning go over into the corresponding operator relations.


Field Theory Elementary Particle Quantum Field Theory Physical Meaning Operator Relation 
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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Lee Ting Hsang
    • 1
  • An Chong Shan
    • 2
  • Zhai Tian Yi
    • 1
  1. 1.Xiangtan UniversityChina
  2. 2.Hainan Teachers CollegeChina

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