Stochastic calculus of variations. (English) Zbl 0482.60063


60H99 Stochastic analysis
81P20 Stochastic mechanics (including stochastic electrodynamics)


Zbl 0165.585
Full Text: DOI


[1] Schwinger, J., Selected Papers in Quantum Electrodynamics (1958), Dover Publications: Dover Publications New York · Zbl 0088.22203
[2] Nelson, E., Dynamical Theories of Brownian Motion (1967), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0165.58502
[3] Nelson, E., (Connection between Brownian motion and quantum mechanics, talk given at the Einstein Symposium. Connection between Brownian motion and quantum mechanics, talk given at the Einstein Symposium, Berlin (March, 1979))
[4] Nelson, E., Derivation of the Schrödinger equation from Newtonian mechanics, Phys. Rev., 150, 1079-1085 (1966)
[5] Dankel, T. G., Mechanics on manifolds and the incorporation of spin into Nelson’s stochastic mechanics, Arch. Rational Mech. Anal., 37, 192-221 (1970) · Zbl 0199.28201
[6] Shucker, D. S., Stochastic Mechanics, (Ph.D. Dissertation (June 1978), Princeton University) · Zbl 0447.60042
[7] Nagasawa, M., Segregation of a population in an environment, J. Math. Biol., 9, 213-235 (1980) · Zbl 0447.92017
[8] Albeverio, S.; Høegh-Krohn, R., A remark on the connection between stochastic mechanics and the heat equation, J. Math. Phys., 15, 1745-1747 (1974) · Zbl 0291.60028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.