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math-ph2023
Discrete and embedded trapped modes in a plane quantum waveguide with a small obstacle: exact solutions
P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez +1
Exact solutions describing trapped modes in a plane quantum waveguide with a small rigid obstacle are constructed in the form of convergent series in powers of the small parameter…
math-ph2023
On Malyshev's method of automorphic functions in diffraction by wedges
Alexander Komech, Anatoli Merzon
We describe Malyshev's method of automorphic functions in application to boundary value problems in angles and to diffraction by wedges. We give a consize survey of related results…