12 citations · 17 across the 4 of their papers we have counts for
4 papers
Generalized integrals and point interactions
Jan Dereziński, Christian Gaß, Błażej Ruba
First we recall a method of computing scalar products of eigenfunctions of a Sturm-Liouville operator. This method is then applied to Macdonald and Gegenbauer functions, which are…
Beliaev damping in Bose gas
Jan Dereziński, Ben Li, Marcin Napiórkowski
According to the Bogoliubov theory the low energy behaviour of the Bose gas at zero temperature can be described by non-interacting bosonic quasiparticles called phonons. In this w…
Generalized integrals of Macdonald and Gegenbauer functions
Jan Dereziński, Christian Gaß, Błażej Ruba
We compute bilinear integrals involving Macdonald and Gegenbauer functions. These integrals are convergent only for a limited range of parameters. However, when one uses generalize…
1-dimensional Schrodinger operators with complex potentials
Jan Dereziński, Vladimir Georgescu
We discuss 1-dimensional Schrodinger operators with complex and locally integrable potentials that may have an arbitrary behavior at (finite or infinite) endpoints. The main tool o…