Foundations of Physics

, Volume 3, Issue 4, pp 413–433 | Cite as

On probability theory and probabilistic physics—Axiomatics and methodology

  • L. S. Mayants


A new formulation involving fulfillment of all the Kolmogorov axioms is suggested for acomplete probability theory. This proves to be not a purely mathematical discipline. Probability theory deals with abstract objects—images of various classes of concrete objects—whereas experimental statistics deals with concrete objects alone. Both have to be taken into account. Quantum physics and classical statistical physics prove to be different aspects ofone probabilistic physics. The connection of quantum mechanics with classical statistical mechanics is examined and the origin of the Schrödinger equation is elucidated. Attention is given to the true meaning of the wave-corpuscle duality, and the incompleteness of nonrelativistic quantum mechanics is explained.


Statistical Physic Quantum Mechanic Probability Theory Experimental Statistic Statistical Mechanic 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B. V. Gnedenko,Course in Probability Theory (Moscow, 1954).Google Scholar
  2. 2.
    L. D. Landau and E. M. Lifshitz,Quantum Mechanics (Moscow, 1963).Google Scholar
  3. 3.
    L. S. Mayants,Zh. Teor. i Experim. Khim. 2, 563 (1966).Google Scholar
  4. 4.
    L. S. Mayants,Zh. Teor. i Experim. Khim. 3, 425 (1967).Google Scholar
  5. 5.
    L. S. Mayants,Quantum Physics and Transformations of Matter (VINITI, Moscow, 1967).Google Scholar
  6. 6.
    L. S. Mayants,Zapiski Erevansk. Gosud. Univers. 1970 (3), 156.Google Scholar
  7. 7.
    H. Margenau and J. Park,Int. J. Theor. Phys. 1, 211 (1968).Google Scholar
  8. 8.
    H. Margenau and L. Cohen, inQuantum Theory and Reality, M. Bunge, ed. (Springer, 1967), Chapter 4.Google Scholar
  9. 9.
    A. Renyi,Acta Math. Hung. 6, 285 (1955).Google Scholar
  10. 10.
    G. Szego,Orthogonal Polynomials (New York, 1959).Google Scholar

Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • L. S. Mayants
    • 1
  1. 1.Institute of Elemento-Organic CompoundsAcademy of Sciences of the USSRMoscowUSSR

Personalised recommendations