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
J J Ludlam et al 2005 J. Phys.: Condens. Matter 17 L321
B R Judd 1980 J. Phys. C: Solid State Phys. 13 2695
Ricardo E Gamboa Saraví 2004 J. Phys. A: Math. Gen. 37 9573
A S Kheifets and Igor Bray 2003 J. Phys. B: At. Mol. Opt. Phys. 36 L211
Stephen M Merkowitz 2003 Class. Quantum Grav. 20 S255
Thomas Buchert and Mauro Carfora 2002 Class. Quantum Grav. 19 6109
D S Elliott et al 1986 J. Phys. B: At. Mol. Phys. 19 3277
Anna Sajina et al. 2007 ApJ 664 713
A Malinauskas et al 2005 Nanotechnology 16 R51