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  • Access by Xinjiang University

Quantization of a Nonlinear Field Theory

Herbert B. Rosenstock*

  • University of North Carolina, Chapel Hill, North Carolina

  • *Present address: U. S. Naval Research Laboratory, Washington 25, D. C.

Phys. Rev. 93, 331 – Published 15 January, 1954

DOI: https://doi.org/10.1103/PhysRev.93.331

Abstract

A quantization procedure, involving the expansion of the field in a space lattice of classical particles, is suggested for a field theory in which classical particles appear as small regions in which the field is intense. Approximate energy eigenvalues are calculated for certain values of the parameters involved.

References (5)

  1. N. Rosen, Phys. Rev. 55, 94 (1939) Finkelstein, LeLevier, and Ruderman, 83, 326 (1951) N. Rosen and H. B. Rosenstock, 85, 257 (1952) L. I. Schiff [ 84, 1 (1951)]
  2. R. J. Finkelstein, Phys. Rev. 75, 1079 (1949) D. R. Yennie, 88, 527 (1952) L. I. Schiff, 92, 764 (1953)
  3. L. Pauling and E. B. Wilson, Introduction to Quantum Mechanics (McGraw-Hill Book Company, Inc., New York, 1935), p. 160
  4. H. B. Rosenstock, thesis, University of North Carolina, Chapel Hill, North Carolina, 1951 (unpublished)
  5. G. Wentzel, Quantentheorie der Wellenfelder (J. W. Edwards, Ann Arbor, 1946), Sec. 2

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