Non-self-adjoint Schrödinger Operator with a Periodic Potential

Authors: Veliev, Oktay

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  • Solves the problem of the non-self-adjoint Schrödinger operator with periodic potential complete with construction of the spectral expansion
  • Presents the complete spectral theory of the non-self-adjoint Mathieu-Schrödinger operator
  • Features a detailed classification of the spectrum and spectral expansion of the Schrödinger operator with a PT-symmetric periodic optical potential
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  • ISBN 978-3-030-72683-6
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Hardcover $159.99
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About this book

This book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schrödinger operator, the book features a complete spectral analysis of the Mathieu-Schrödinger operator and the Schrödinger operator with a parity-time (PT)-symmetric periodic optical potential. There currently exists no general spectral theorem for non-self-adjoint operators; the approaches in this book thus open up new possibilities for spectral analysis of some of the most important operators used in non-Hermitian quantum mechanics and optics. Featuring detailed proofs and a comprehensive treatment of the subject matter, the book is ideally suited for graduate students at the intersection of physics and mathematics.

About the authors

Oktay Veliev received his B.S. degree in Mathematics in 1977 and Ph.D. degree in Mathematics in 1980 from Moscow State University, earning a Doctor of Sciences degree in 1989. From 1980 to 1983, he was a researcher and then a senior researcher (1983–1988) at the Institute of Mathematics of the Academy of Sciences of Azerbaijan SSR. At Baku State University (Azerbaijan), he has been Associate Professor (1988–1991), Professor (1991–1992), and Head of the Department of Functional Analysis (1992–1997). Between 1993 and 1997, he was President of the Azerbaijan Mathematical Society. He was Visiting Professor at the University of Nantes (France), the Institute of Mathematics at the ETH (Switzerland), and Sussex University (England). From 1997 to 2002, he was Professor at Dokuz Eylul University (Turkey) and since 2003 has been Professor at Dogus University (Turkey). He has received grants from the American Mathematical Society and the International Science Foundation (Grant No. MVVOOO).

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-3-030-72683-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-72682-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Non-self-adjoint Schrödinger Operator with a Periodic Potential
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-72683-6
DOI
10.1007/978-3-030-72683-6
Hardcover ISBN
978-3-030-72682-9
Edition Number
1
Number of Pages
X, 294
Number of Illustrations
1 b/w illustrations, 9 illustrations in colour
Topics