5 citations · 8 across the 7 of their papers we have counts for
8 papers
Exactly solvable Schrödinger operators related to the hypergeometric equation
Jan Dereziński, Pedram Karimi
We study one-dimensional Schrödinger operators defined as closed operators that are exactly solvable in terms of the Gauss hypergeometric function. We allow the potentials to be co…
A unified approach to hypergeometric class functions
Jan Dereziński
Hypergeometric class equations are given by second order differential operators in one variable whose coefficient at the second derivative is a polynomial of degree , at the…
Axial anomaly in the presence of arbitrary spinor interactions
Jan Dereziński, Adam Latosiński
We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current…
Exactly solvable Schrödinger operators related to the confluent equation
Jan Dereziński, Jinyeop Lee
Our paper investigates one-dimensional Schrödinger operators defined as closed operators on or that are exactly solvable in terms of confluent…
Propagators in curved spacetimes from operator theory
Jan Dereziński, Christian Gaß
We discuss two distinct operator-theoretic settings useful for describing (or defining) propagators associated with a scalar Klein-Gordon field on a Lorentzian manifold . Typica…
Bessel potentials and Green functions on pseudo-Euclidean spaces
Jan Dereziński, Bartłomiej Sikorski
We review properties of Bessel potentials, that is, inverse Fourier transforms of (regularizations of) on a pseudoEuclidean space with signature $…
Confluent functions, Laguerre polynomials and their (generalized) bilinear integrals
Jan Dereziński, Christian Gaß, Joonas Mikael Vättö
We review properties of confluent functions and the closely related Laguerre polynomials, and determine their bilinear integrals. As is well-known, these integrals are convergent o…
Point potentials on Euclidean space, hyperbolic space and sphere in any dimension
Jan Dereziński, Christian Gaß, Błażej Ruba
In dimensions d= 1, 2, 3 the Laplacian can be perturbed by a point potential. In higher dimensions the Laplacian with a point potential cannot be defined as a self-adjoint operator…