Non-Self-Adjoint Schrödinger Operator with a Periodic Potential (2nd Edition)

[bookbestseller]

Non-Self-Adjoint Schrödinger Operator with a Periodic Potential:
Spectral Theories for Scalar and Vectorial Cases and Their Generalizations
English | 2025 | ISBN: 3031902580 | 487 Pages | PDF EPUB (True) | 38 MB

This book offers a comprehensive exploration of spectral theory for non-self-adjoint differential operators with complex-valued periodic coefficients, addressing one of the most challenging problems in mathematical physics and quantum mechanics: constructing spectral expansions in the absence of a general spectral theorem. It examines scalar and vector Schrödinger operators, including those with PT-symmetric periodic optical potentials, and extends these methodologies to higher-order operators with periodic matrix coefficients.

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