@article{AIHPA_1990__53_3_301_0, author = {de Angelis, G. F. and Serva, M.}, title = {Jump processes and diffusions in relativistic stochastic mechanics}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {301--317}, publisher = {Gauthier-Villars}, volume = {53}, number = {3}, year = {1990}, mrnumber = {1084882}, zbl = {0711.60083}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1990__53_3_301_0/} }
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 SP - 301 EP - 317 VL - 53 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1990__53_3_301_0/ LA - en ID - AIHPA_1990__53_3_301_0 ER -
%0 Journal Article %A de Angelis, G. F. %A Serva, M. %T Jump processes and diffusions in relativistic stochastic mechanics %J Annales de l'I.H.P. Physique théorique %D 1990 %P 301-317 %V 53 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1990__53_3_301_0/ %G en %F AIHPA_1990__53_3_301_0
de Angelis, G. F.; Serva, M. Jump processes and diffusions in relativistic stochastic mechanics. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 3, pp. 301-317. http://archive.numdam.org/item/AIHPA_1990__53_3_301_0/
[1] Derivation of the Schrödinger Equation from Newtonian Mechanics, Phys. Rev., Vol. 150, 1966, p. 1079.
,[2] Dynamical Theories of Brownian Motion, Princeton University Press, Princeton, 1967. | MR | Zbl
,[3] Quantum Fluctuations, Princeton University Press, Princeton, 1985. | MR | Zbl
,[4] Structural Aspect of Stochastic Mechanics and Stochastic Field Theory, Phys. Rep., Vol. 77, 1981, p. 263. | MR
,[5] A Note on Relativistic Markov Processes, Lett. Nuovo Cimento, Vol. 23, 1978, p. 529.
and ,[6] Compatibility Between the Brownian Metric and the Kinetic Metric in Nelson Stochastic Quantization, Phys. Rev. D, Vol. 31, 1985, p. 2521. | MR
and ,[7] Stochastic Mechanics of a Dirac Particle in Two Space-Dimensions, J. Phys. A: Math. Gen., Vol. 19, 1986, p. 865. | MR | Zbl
, , and ,[8] Relativistic Stochastic Processes Associated to Klein-Gordon Equation, Ann. Inst. Henri Poincaré, Vol. 49, 1988, p. 415. | Numdam | MR | Zbl
,[9] Variational Principles for Relativistic Stochastic Mechanics, preprint BiBoS, Bielefeld, 1989.
and ,[10] Stochastic Mechanics of Relativistic Spinless Particle, J. Math. Phys., Vol. 31, 1990, 1408. | MR | Zbl
,[11] Localized States for Elementary Systems, Rev. Mod. Phys., Vol. 20, 1948, p. 367. | Zbl
and ,[12] Imaginary-Time Path Integral for a Relativistic Spinless Particle in an Electromagnetic Field, Commun. Math. Phys., Vol. 105, 1986, p. 239. | MR | Zbl
and ,[13] The Nonrelativistic Limit Problem for a Relativistic Spinless Particle in an Electromagnetic Field, J. Funct. Analysis, Vol. 73, 1987, p. 233. | MR | Zbl
,[14] Diffusions Processes and their Sample Paths, Springer-Verlag, Berlin, Heidelberg, New York, 1974. | Zbl
and .,[15] New Approach to the Semiclassical Limit of Quantum Mechanics, Commun. Math. Phys., Vol. 80, 1981, p. 223. | MR | Zbl
, and ,[16] La propriété de sous-harmonicité des diffusions dans les variétés, in Séminaire de Probabilité XXII, Lect. Notes Math., No. 1321, Springer-Verlag, 1988. | Numdam | MR | Zbl
,[17] Path integrals for relativistic Schrödinger operators, in Lect. Notes Phys., Vol. 345, Springer-Verlag, 1988. | MR | Zbl
,[18] Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions, J. Funct. Analysis, Vol. 91, 1990, p. 117. | MR | Zbl
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