Customer Reviews

Orthogonal Polynomials on the Unit Circle (Colloquium Publications (Amer Mathematical Soc))

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While my background is in theoretical physics, I have never delved into the theory of the discrete Schrodinger operator. But this book can be considered an intensive exploration of that operator. Simon summarises a lot of research, and certainly not just by him, that reveals an amazing depth and complexity.

This book is really a text for the graduate or research level in mathematical physics. It is rather abstruse. Which may be a stumbling block to the average physicist. While the Schrodinger equation is the basis of non-relativistic quantum mechanics, going from results in this book to broader applications might not be easy.