Spinning particles and relativistic particles in the framework of Nelson's stochastic mechanics

  • Daniela Dohrn
  • Francesco Guerra
  • Patrizta Ruggiero
Session III
Part of the Lecture Notes in Physics book series (LNP, volume 106)


Stochastic Differential Equation Markov Property Relativistic Covariance Relativistic Quantum Mechanic Invariant Parameter 
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  1. [1]
    F. Guerra and P. Ruggiero: Phys. Rev. Lett., 31, 1022 (1973).Google Scholar
  2. [2]
    D. Dohrn and F. Guerra: Lettere al Nuovo Cimento 22, 121 (1978).Google Scholar
  3. [3]
    E. Nelson: Phys. Rev. 150, 1079 (1966).Google Scholar
  4. [4]
    J. Schwinger: Phys. Rev., 115, 721 (1959)Google Scholar
  5. [5]
    K. Symanzik: J. Math. Phys., 7, 510 (1966).Google Scholar
  6. [6]
    E. Nelson: J. Funct. Anal., 12, 97 (1973).Google Scholar
  7. [7]
    B. Simon: Thé P(ø) 2 Euclidean (Quantum) Field Theory, Princeton N.J. 1974.Google Scholar
  8. [8]
    G.F. Dell'Antonio, S.Doplicher and G. Jona-Lasinio (eds.), Mathematical Problems in Theoretical Physics, Springer Verlag, Berlin, 1978.Google Scholar
  9. [9]
    T.G. Dankel jr.: Arch. Rational Mech. Anal., 37, 192 (1971).Google Scholar
  10. [10]
    J.P. Caubet: Le Mouvement Brownien Relativiste, Springer Verlag, Berlin, 1976.Google Scholar
  11. [11]
    D. Dohrn and F. Guerra: Geodesic Correction to Stochastic Parallel Displacement of Tensors, to appear in the Proceedings of the Conference on Stochastic Behaviour in Classical and Quantum Hamiltonian Systems, Como, June 20–24, 1977 edited by G. Casati and J. Ford.Google Scholar
  12. [12]
    F. Guerra and P. Ruggiero: A Noté on Relativistic Markov Processes, Lettere al Nuovo Cimento, to appear.Google Scholar
  13. [13]
    F. Bopp and R. Haag: Z. Naturforschg, 5a, 644 (1950).Google Scholar
  14. [14]
    C.W. Milner,K.S. Thorne and J.A. Wheeler: Gravitation, W.H. Freeman and Co. San Francisco, 1970.Google Scholar
  15. [15]
    R.P. Feynman: Phys. Rev., 80, 440 (1950).Google Scholar
  16. [16]
    R.M. Dudley: Arkiv för Math., 6, 241 (1965).Google Scholar
  17. [17]
    R. Hakim: J. Math. Phys, 9, 1805 (1968).Google Scholar
  18. [18]
    J.P. Vigier: Model of Quantum Statistics in Terms of a Fluid with Irregular Stochastic Fluctuations Propagating at the Velocity of Light: A Derivation of Nelson's Equations, Preprint of Institut Henri Poincaré, Paris, 1978.Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Daniela Dohrn
    • 1
  • Francesco Guerra
    • 1
  • Patrizta Ruggiero
    • 1
  1. 1.Institute of PhysicsUniversity of SalernoSalerno

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