24 citations · 92 across the 19 of their papers we have counts for
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math-ph2014★ 4 cited
Nonlocal random motions: The trapping problem
Piotr Garbaczewski, Mariusz Żaba
Lévy stable (jump-type) processes are examples of intrinsically nonlocal random motions. This property becomes a serious obstacle if one attempts to model conditions under which a…
quant-ph2014★ 2 cited
Nonlocally-induced (quasirelativistic) bound states: Harmonic confinement and the finite well
Piotr Garbaczewski, Mariusz Żaba
Nonlocal Hamiltonian-type operators, like e.g. fractional and quasirelativistic, seem to be instrumental for a conceptual broadening of current quantum paradigms. However physicall…
math-ph2014★ 24 cited
Solving fractional Schroedinger-type spectral problems: Cauchy oscillator and Cauchy well
Mariusz Zaba, Piotr Garbaczewski
This paper is a direct offspring of Ref. [J. Math. Phys. 54, 072103, (2013)] where basic tenets of the nonlocally induced random and quantum dynamics were analyzed. A number of men…