Non-Self-Adjoint Schrödinger Operator with a Periodic Potential (eBook, PDF)
Oktay Veliev
eBook, PDF

Non-Self-Adjoint Schrödinger Operator with a Periodic Potential (eBook, PDF)

Spectral Theories for Scalar and Vectorial Cases and Their Generalizations

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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.The second edition significantly expands upon the first by introdu...

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