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Prog. Theor. Phys. Vol. 47 No. 4 (1972) pp. 1367-1377

[ Full Text PDF : FREE ACCESS (482K) ]

Quantum Mechanics of a Nonlinear System

Minoru Omote and Haruo Sato

Department of Physics, Tokyo University of Education, Tokyo

(Received October 20, 1971)

Abstract:

A procedure is given for constructing a Hamiltonian quantum theory for a system with a nonlinear (classical) Lagrangian. It is shown that the resulting formalism retains all the symmetry properties prossessed by the original Lagrangian.


URL : http://ptp.ipap.jp/link?PTP/47/1367/
DOI : 10.1143/PTP.47.1367

[ Full Text PDF : FREE ACCESS (482K) ] Citation:

References:

  1. H. E. Lin, W. C. Lin and R. Sugano, Nucl. Phys. B 16 (1970), 431[CrossRef].
    Y. Ohnuki, to be published.
    T. Kimura, Prog. Theor. Phys. 46 (1971), 1261[PTP].
  2. J. Schwinger, Phys. Rev. 82 (1951), 914[APS].
  3. J. S. Dowker and I. W. Mayes, Nucl. Phys. B 29 (1971), 259[CrossRef].
  4. B. S. DeWitt, Phys. Rev. 85 (1952), 653[APS]; Rev. Mod. Phys. 29 (1957), 377[APS].

Citing Article(s) :

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  11. Progress of Theoretical Physics Vol. 83 No. 5 (1990) pp. 894-905 :
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  12. Progress of Theoretical Physics Vol. 93 No. 3 (1995) pp. 597-613 :
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