V Bezak 1992 J. Phys. A: Math. Gen. 25 6027 doi:10.1088/0305-4470/25/22/026
V Bezak
Show affiliationsA Poisson-modified Wiener process is considered. Its conditional probability density is calculated exactly. Various forms of the evolution equation are derived for the case when the initial probability density is arbitrary. A generalization is also treated when this equation contains a term analogous to the potential energy term in the Schrodinger equation. The Green function of this equation is derived in the form of a functional integral which may be considered as a direct generalization of the Feynman-Kac integral. An application is suggested in the theory of quasiparticles with a non-parabolic dispersion law.
60G50 Sums of independent random variables; random walks
Issue 22 (21 November 1992)
V Bezak 1992 J. Phys. A: Math. Gen. 25 6027
I M Benn and Jonathan Kress 1996 J. Phys. A: Math. Gen. 29 6295
P Love 1983 J. Phys. C: Solid State Phys. 16 5985
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