Potential scattering in stochastic mechanics
Annales de l'I.H.P. Physique théorique, Volume 42 (1985) no. 4, p. 407-428
@article{AIHPA_1985__42_4_407_0,
     author = {Carlen, Eric},
     title = {Potential scattering in stochastic mechanics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {42},
     number = {4},
     year = {1985},
     pages = {407-428},
     zbl = {0581.60096},
     mrnumber = {801237},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1985__42_4_407_0}
}
Carlen, E. A. Potential scattering in stochastic mechanics. Annales de l'I.H.P. Physique théorique, Volume 42 (1985) no. 4, pp. 407-428. http://www.numdam.org/item/AIHPA_1985__42_4_407_0/

[1] E. Nelson, Quantum Fluctuations, Princeton, Princeton University Press, 1984. | MR 783254 | Zbl 0563.60001

[2] F. Guerra, L. Morato, Quantization of Dynamical Systems and Stochastic Control Theory, Phys. Rev. D., t. 27, 1983, p. 1771-1786. | MR 698913

[3] D. Shucker, Stochastic Mechanics of Systems with Zero Potential, J. Func. Analysis, t. 38, 1980, p. 146-155. | MR 587905 | Zbl 0447.60042

[4] A. Jensen, T. Kato, Spectral Properties of Schrödinger Operators and Time Decay of the Wave Functions, Duke Math., Jour., t. 46, 1979, p. 583-611. | MR 544248 | Zbl 0448.35080

[5] M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. I: Functional Analysis, New York, Academic Press, 1972. | Zbl 0242.46001

[6] D. Stroock, S. Varadhan, Multidimensional Diffusion Processes, New York, Springer, 1979. | MR 532498 | Zbl 0426.60069

[7] E. Carlen, Conservative Diffusions, Com. Math. Phys., t. 94, 1984, p. 273-296. | MR 763381 | Zbl 0558.60059

[8] H. Mckean, Stochastic Integrals, New York, Academic Press, 1969. | MR 247684 | Zbl 0191.46603

[9] W. Thirring, A Course in Mathematical Physics I: Classical Dynamical Systems, New York, Springer, 1978. | MR 587314 | Zbl 0387.70001

[10] B. Simon, Wave Operators for Classical Particle Scattering, Com. Math. Phys., t. 23, 1971, p. 37-48. | MR 294899 | Zbl 0238.70012

[11] V. Enss, Geometric Methods in Spectral and Scattering Theory for Schrödinger Operators in Rigorous Results in Atomic and Molecular Physics, G. Velo and A. Wightman eds., New York, Plenum 1981.

[12] B. Simon, Schrödinger Semigroups, Bull. A. M. S., t. 7 (New Series), 1982, p. 447-526. | MR 670130 | Zbl 0524.35002

[13] J. Dollard, Asymptotic Convergence and the Coulomb Interaction, J. Math. Physics, t. 5, p. 729-738. | MR 163620

[14] P.A. Perry, Propagation of States in Dialation Analytic Potentials and Asymptotic Completeness, Comm. Math. Phys., t. 81, 1981, p. 243-259. | MR 632760 | Zbl 0471.47007

[15] P. Biler, Stochastic Interpretation of Potential Scattering in Quantum Mechanics, Lett. Math. Phys., t. 8, 1984, p. 1-6. | MR 731194 | Zbl 0534.60052

[16] E. Nelson, Dynamical Theories of Brownian Motion, Princeton, Princeton University Press, 1967. | MR 214150 | Zbl 0165.58502

[17] Yu.V. Prokhorov, Convergence of Random Processes and Limit Theorems in Probability Theory. Theor. Prob. and Appl., t. 1, 1956, p. 157-214. | Zbl 0075.29001

[18] M. Sevra, Elastic Scattering in Stochastic Mechanics, Lett. Nuov. Cim., t. 41, 1984, p. 198. | MR 769387