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Spectral properties of integrable Schrodinger operators with singular potentials

The integrable Schrödinger operators often have a singularity on the real line, which creates problems for their spectral analysis. A classical example is the Lamé operator L = −d^2/dx^2 + m(m + 1)℘(x), where ℘(z) is the classical Weierstrass elliptic function. We study the spectral properties of it...

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Bibliographic Details
Main Author:	William Haese-Hill
Format:	Default Thesis
Published:	2015
Subjects:	Other mathematical sciences not elsewhere classified Complex Lamé operators Monodromy-free Schrödinger operators Exceptional orthogonal polynomials Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/19929
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