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Nonstandard analysis in classical physics and quantum formal scattering

  • F. Bagarello
  • S. Valenti
Article

Abstract

After a rigorous introduction to hyperreal numbers, we give in terms of non standard analysis, (1) a Lagrangian statement of classical physics, and (2) a statement of formal quantum scattering.

Keywords

Field Theory Elementary Particle Quantum Field Theory Standard Analysis Classical Physic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Francis, C. E. (1981). Application of nonstandard analysis to relativistic quantum mechanics. I,Journal of Physics A,14, 2539–2251.Google Scholar
  2. Helms, L. L., and Loeb, P. A. (1969). Application of nonstandard analysis to spin models,Journal of Mathematical Analysis and Applications,69, 341–352.Google Scholar
  3. Kelemen, P. J. (1974). Quantum mechanics, quantum field theory and hyper-quantum mechanics, inVictoria Symposium on Non-Standard Analysis, Lecture Notes in Mathematics, Vol. 369, Springer, Berlin.Google Scholar
  4. Robinson, A. (1974).Non-Standard Analysis, North-Holland, Amsterdam.Google Scholar
  5. Valenti, S. (1982–1987). Dall'intero all'iperreale, Internal reports for students, Department of Mathematics, University of Palermo.Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • F. Bagarello
    • 1
  • S. Valenti
    • 2
  1. 1.Institute of PhysicsUniversity of PalermoItaly
  2. 2.Department of MathematicsUniversity of PalermoItaly

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