Eigenfunctions of negative spectrum for the Schrödinger operator in a halfplane having singular potential on a ray and with Neumann boundary condition
Abstract:
In this work eigenfunctions of essential and discrete spectrum are constructed. Integral representations and asymptotics of the eigenfunctions at far distances are obtained.
Key words and phrases:discrete and essential spectrum, eigenfunctions, Kontorovich–Lebedev integrals, Sommerfeld–Malyuzhinets technique, asymptotics, functional difference equations.
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