71 citations · 494 across the 58 of their papers we have counts for
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math-ph2015★ 5 cited
Ultrarelativistic (Cauchy) spectral problem in the infinite well
Elena V. Kirichenko, Piotr Garbaczewski, Vladimir Stephanovich +1
We analyze spectral properties of the ultrarelativistic (Cauchy) operator , provided its action is constrained exclusively to the interior of the interval $[-1,1] \subse…
math-ph2015★ 12 cited
Nonlocally-induced (fractional) bound states: Shape analysis in the infinite Cauchy well
Mariusz Żaba, Piotr Garbaczewski
Fractional (Lévy-type) operators are known to be spatially nonlocal. This becomes an issue if confronted with a priori imposed exterior Dirichlet boundary data. We address spectral…