Fresnel Type Path Integral for the Stochastic Schrödinger Equation

Letters in Mathematical Physics

Volumn 41, Issue 1, 1997, Pages 93-99

  Zastawniak, T J ^a  

^a UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Path integrals; Stochastic Schr dinger equation

Indexed keywords

EID: 0009101477     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007375114656     Document Type: Article

References (14)

1. Albeverio, S. A. and Høegh-Krohn, R. J.: Mathematical Theory of Feynman Path Integrals, Lecture Notes in Math. 523, Springer-Verlag, Berlin, 1976.
2. Albeverio, S. A., Kolokol'tsov, V. N. and Smolyanov, O. G.: Representations of the Belavkin quantum measurement equation by the Menski functional formula, to appear in CR Acad. Sci. Paris, série 1, Math.
3. Belavkin, V. P.: A new wave equation for a continuous nondemolition measurement, Phys. Lett. A 140 (1989), 355-359.
4. Belavkin, V. P.: A posterior Schrödinger equation for continuous nondemolition measurement, J. Math. Phys. 31 (1990), 2930-2934.
5. Belavkin, V. P. and Smolyanov, O. G.: Feynman path integral corresponding the stochastic Schrödinger equation (in Russian), to appear in Dokl. Akad. Nauk.
6. Dawson, D. A. and Papanicolaou, G. C: A random wave process, Appl. Math. Optim. 12 (1984), 97-114.
7. Diósi, L.: Continuous quantum measurement and Itô formalism, Phys. Lett. A 129 (1988), 419-423.
8. Doss, H.: Sur une résolution stochastique de l'équation de Schrödinger à coefficients analytiques, Comm. Math. Phys. 73 (1980), 247-264.
9. Gizin, N.: Quantum measurements and stochastic processes, Phys. Rev. Lett. 52 (1984), 1657-1660.
10. Hudson, R. L. and Parthasarathy, K. R.: Quantum Itô's formula and stochastic evolutions, Comm. Math. Phys. 93 (1984), 301-323.
11. Menski, M. B.: Continuous Quantum Measurements and Path Integrals, Institute of Physics, Bristol, 1993.
12. Pearle, P.: Combining stochastic dynamical state-vector reduction with spontaneous localization, Phys. Rev. A 39 (1989), 2277-2289.
13. Truman, A. and Zhao, H. Z.: The stochastic Hamilton-Jacobi equation, stochastic heat equations, and stochastic Schrödinger equations, in: A. Truman, K. D. Elworthy, and I. M. Davies (eds), Stochastic Analysis and Applications, Fifth Gregynog Symposium, Gregynog, Wales, 9-14 July 1995, World Scientific, Singapore, 1996.
14. Truman, A. and Zhao, H. Z.: On stochastic diffusion equations and stochastic Burgers' equations, J. Math. Phys. 37 (1996), 283-307.