Jump processes and diffusions in relativistic stochastic mechanics

G. F. de Angelis; M. Serva

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 53, Issue: 3, page 301-317
  • ISSN: 0246-0211

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de Angelis, G. F., and Serva, M.. "Jump processes and diffusions in relativistic stochastic mechanics." Annales de l'I.H.P. Physique théorique 53.3 (1990): 301-317. <http://eudml.org/doc/76506>.

@article{deAngelis1990,
author = {de Angelis, G. F., Serva, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {relativistic quantum spinless particles; Klein-Gordon propagator; jump Markov processes; Hamiltonian semigroup},
language = {eng},
number = {3},
pages = {301-317},
publisher = {Gauthier-Villars},
title = {Jump processes and diffusions in relativistic stochastic mechanics},
url = {http://eudml.org/doc/76506},
volume = {53},
year = {1990},
}

TY - JOUR
AU - de Angelis, G. F.
AU - Serva, M.
TI - Jump processes and diffusions in relativistic stochastic mechanics
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 53
IS - 3
SP - 301
EP - 317
LA - eng
KW - relativistic quantum spinless particles; Klein-Gordon propagator; jump Markov processes; Hamiltonian semigroup
UR - http://eudml.org/doc/76506
ER -

References

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  14. [14] K. Ito and H.P. McKeanJr., Diffusions Processes and their Sample Paths, Springer-Verlag, Berlin, Heidelberg, New York, 1974. Zbl0285.60063
  15. [15] G. Jona-Lasinio, F. Martinelli and E. Scoppola, New Approach to the Semiclassical Limit of Quantum Mechanics, Commun. Math. Phys., Vol. 80, 1981, p. 223. Zbl0483.60094MR623159
  16. [16] D. Bakry, La propriété de sous-harmonicité des diffusions dans les variétés, in Séminaire de Probabilité XXII, Lect. Notes Math., No. 1321, Springer-Verlag, 1988. Zbl0653.58043MR960507
  17. [17] R. Carmona, Path integrals for relativistic Schrödinger operators, in Lect. Notes Phys., Vol. 345, Springer-Verlag, 1988. Zbl0712.35069MR1037317
  18. [18] R. Carmona, W.C. Masters and B. Simon, Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions, J. Funct. Analysis, Vol. 91, 1990, p. 117. Zbl0716.35006MR1054115

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