Il Nuovo Cimento B (1971-1996)

, Volume 108, Issue 10, pp 1181–1190 | Cite as

Quantum theory on a curved space

  • M. Nakamura
  • H. Minowa


Using the projection operator method, the quantization of a dynamical system constrained to a curved space embedded in the higher-dimensional Euclidean space is investigated in the framework of the canonical formalism. We show that the resultant Hamiltonian contains the quantum correction term, which is completely missed in the usual approach with Dirac’s formalism.


03.65 Quantum theory quantum mechanics 


ll.10.Ef Lagrangian and Hamiltonian approach 


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Copyright information

© Società Italiana di Fisica 1993

Authors and Affiliations

  • M. Nakamura
    • 1
  • H. Minowa
    • 2
  1. 1.Department of PhysicsHamamatsu University of Tokoha-gakuen Miyakoda-cho 1230ShizuokaJapan
  2. 2.Department of PhysicsNumazu National College of Technology Ohoka 3600SkizuokaJapan

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