71 citations · 494 across the 58 of their papers we have counts for
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quant-ph2016★ 2 cited
Ultrarelativistic bound states in the shallow spherical well
Mariusz Zaba, Piotr Garbaczewski
We determine approximate eigenvalues and eigenfunctions shapes for bound states in the shallow spherical ultrarelativistic well. Existence thresholds for the ground state and…
quant-ph2016★ 18 cited
Lévy flights in the infinite potential well as the hypersingular Fredholm problem
Elena V. Kirichenko, Piotr Garbaczewski, Vladimir Stephanovich +1
We study Lévy flights {with arbitrary index } inside a potential well of infinite depth. Such problem appears in many physical systems ranging from stochastic interface…
quant-ph2016★ 3 cited
Ultrarelativistic bound states in the spherical well
Mariusz Żaba, Piotr Garbaczewski
We address an eigenvalue problem for the ultrarelativistic (Cauchy) operator , whose action is restricted to functions that vanish beyond the interior of a unit sphere…