Skip to main content
SpringerLink
Log in

Nelson's stochastic mechanics on Riemannian manifolds

  • Published:
Lettere al Nuovo Cimento (1971-1985)

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Footenotes

  1. E. Nelson:Phys. Rev.,150, 1079 (1966);Dynamical Theories of Brownian Motion (Princeton, N. J., 1967). See also (4,5,6)G. Guerra andP. Ruggiero:Phys. Rev. Lett.,31, 1022 (1973);B. Simon:The P(ϕ)2 Euclidean (Quantum) Field Theory (Princeton, N. J., 1974).R. Schrader:Commun. Math. Phys.,50, 97 (1976).

    Article  ADS  Google Scholar 

  2. F. Guerra andP. Ruggiero: in preparation.

  3. See for exampleS. Chandrasekhar:Rev. Mod. Phys.,15, No. 1, reprinted inNoise and Stochastic Processes, edited byN. Wax (New York, N. Y., 1954).

  4. G. Guerra andP. Ruggiero:Phys. Rev. Lett.,31, 1022 (1973);F. Guerra:On the connection between Euclidean-Markov field theory and stochastic quantization, inC +-Algebras and Their Applications to Statistical Mechanics and Quantum Field Theory, edited byD. Kastler (Amsterdam, 1976).

    Article  ADS  Google Scholar 

  5. B. Simon:The P(ϕ)2 Euclidean (Quantum) Field Theory (Princeton, N. J., 1974).

  6. See for example (5)B. Simon:The P(ϕ)2 Euclidean (Quantum) Field Theory (Princeton, N.J., 1974).R. Schrader:Commun. Math. Phys.,50, 97 (1976);J. Magnen andR. Sénéor:Commun. Math. Phys.,56, 237 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  7. T. G. Dankel jr.:Arch. Rational Mech. Anal.,37, 192 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  8. J. P. Caubet:Le mouvement brownien relativiste (Berlin, 1976), and earlier references quoted there.

  9. F. Guerra andM. I. Loffredo: in preparation.

  10. D. Dohrn andF. Guerra:Geodesic correlation to stochastic parallel displacement of tensors, to appear in theProceedings of the Conference on Stochastic Behaviour in Classical and Quantum Hamiltonian Systems, Como, June 20–24, 1977, edited byG. Casati andJ. Ford.

  11. See,K. Itô:The Brownian motion and tensor fields on Riemannian manifold, inProceedings of the International Congress of Mathematics (Stockolm, 1962), p. 536.

  12. J. L. Doob:Stochastic Processes (New York, N. Y., 1953).

  13. G. de Rham:Variétés differentiables (Paris, 1955), p. 1222.

Download references

Author information

Authors and Affiliations

  1. Istitute of Physics, University of Salerno, Salerno, Italy

    D. Dohrn & F. Guerra

Authors
  1. D. Dohrn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Guerra
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Postal address: Istituto di Fisica dell'Università, Via Vernieri 42, 84100 Salerno, Italy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dohrn, D., Guerra, F. Nelson's stochastic mechanics on Riemannian manifolds. Lett. Nuovo Cimento 22, 121–127 (1978). https://doi.org/10.1007/BF02804667

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02804667

Search

Navigation