Communications in Mathematical Physics

, Volume 63, Issue 2, pp 131–153 | Cite as

Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space

  • F. A. Berezin


It is shown that the expansion in powers of 1/N characteristic of Gross-Neveu type models is of quasiclassical nature, 1/N taking part of the Planck constant. The limity classical mechanics has curved phase space that does not admit introduction of naturally canonically conjugated coordinates.


Neural Network Statistical Physic Phase Space Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • F. A. Berezin
    • 1
  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowUSSR

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