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19942024
most citedAharonov-Bohm Effect with --type Interaction

104 citations · 320 across the 42 of their papers we have counts for

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math-ph2024

Coulomb Green's function and an addition formula for the Whittaker functions

Pavel Šťovíček

A series of the form is evaluated explicitly where are suitable complex coeff…

math-ph2022

A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse

Pavel Stovicek

Assume that is a sequence of positive numbers and . Let , where is a parameter,…

math-ph2016★ 4 cited

The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field

Pavel Stovicek

A non-relativistic quantum model is considered with a point particle carrying a charge and moving on the plane pierced by two infinitesimally thin Aharonov-Bohm solenoids and s…

math-ph2011★ 3 cited

A charged particle in a homogeneous magnetic field accelerated by a time periodic Aharonov-Bohm flux

T. Kalvoda, P. Stovicek

We consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time-dependent Aharonov-Bohm f…

math-ph2010★ 3 cited

Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields

Petra Kostakova, Pavel Stovicek

Given an invariant gauge potential and a periodic scalar potential \tilde{V} on a Riemannian manifold \tilde{M} with a discrete symmetry group Γ, consider a Γ-periodic quantum Hami…

math-ph2010★ 1 cited

On the eigenvalue problem for a particular class of finite Jacobi matrices

F. Stampach, P. Stovicek

A function with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of $\m…