Multidimensional Periodic Schrцdinger Operator: Perturbation Theory and Applications, Veliev Oktay

Автор: Sylvio Ferraz-Mello
Название: Canonical Perturbation Theories
ISBN: 1441922857 ISBN-13(EAN): 9781441922854
Издательство: Springer
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Описание: The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems.

Автор: J.K. Kevorkian; J.D. Cole
Название: Multiple Scale and Singular Perturbation Methods
ISBN: 146128452X ISBN-13(EAN): 9781461284529
Издательство: Springer
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Описание: This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer- Verlag, 1981).

Автор: Veliev Oktay
Название: Multidimensional Periodic Schrцdinger Operator: Perturbation Theory and Applications
ISBN: 3030245772 ISBN-13(EAN): 9783030245771
Издательство: Springer
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Описание: This book describes the direct and inverse problems of the multidimensional Schr?dinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the Bethe–Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed, it determines the spectral invariants of the multidimensional operator from the given Bloch eigenvalues. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential, making it possible to determine the potential constructively using Bloch eigenvalues as input data. Lastly, the book presents an algorithm for the unique determination of the potential. This updated second edition includes an additional chapter that specifically focuses on lower-dimensional cases, providing the basis for the higher-dimensional considerations of the chapters that follow.

Автор: Oktay Veliev
Название: Multidimensional Periodic Schr?dinger Operator
ISBN: 3319386719 ISBN-13(EAN): 9783319386713
Издательство: Springer
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Описание: This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined.

Автор: Ivrii Victor
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV: Magnetic Schrцdinger Operator 2
ISBN: 3030305473 ISBN-13(EAN): 9783030305475
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Описание: Non-smooth theory and higher dimensions.- Irregular coefficients in dimensions 2, 3.- Full-rank case.- Non-full-rank case.- 4D-Schrцdinger with degenerating magnetic field.- 4D-Schrцdinger Operator with the strong magnetic field.- Eigenvalue asymptotics for Schrцdinger and dirac operators with the strong magnetic field.- Eigenvalue asymptotics: 2D case.- Eigenvalue asymptotics: 3D case.

Автор: Ivrii Victor
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III: Magnetic Schrцdinger Operator 1
ISBN: 3030305392 ISBN-13(EAN): 9783030305390
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Описание: Smooth theory in dimensions 2 and 3.- Standard Theory.- 2D degenerating magnetic Schrцdinger operator.- 2D magnetic Schrцdinger near boundary.- Magnetic Schrцdinger operator: short loops.- Dirac operator with strong magnetic field.

Автор: Tiago Buckup; J?r?mie L?onard
Название: Multidimensional Time-Resolved Spectroscopy
ISBN: 3030024776 ISBN-13(EAN): 9783030024772
Издательство: Springer
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Описание: The series Topics in Current Chemistry Collections presents critical reviews from the journal Topics in Current Chemistry organized in topical volumes. The scope of coverage is all areas of chemical science including the interfaces with related disciplines such as biology, medicine and materials science. The goal of each thematic volume is to give the non-specialist reader, whether in academia or industry, a comprehensive insight into an area where new research is emerging which is of interest to a larger scientific audience.Each review within the volume critically surveys one aspect of that topic and places it within the context of the volume as a whole. The most significant developments of the last 5 to 10 years are presented using selected examples to illustrate the principles discussed. The coverage is not intended to be an exhaustive summary of the field or include large quantities of data, but should rather be conceptual, concentrating on the methodological thinking that will allow the non-specialist reader to understand the information presented. Contributions also offer an outlook on potential future developments in the field.

Автор: Cho Minhaeng
Название: Coherent Multidimensional Spectroscopy
ISBN: 9811397554 ISBN-13(EAN): 9789811397554
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Описание:

Chapter 1 Introduction to Coherent Multidimensional Spectroscopy (Minhaeng Cho)

Автор: Cho Minhaeng
Название: Coherent Multidimensional Spectroscopy
ISBN: 981139752X ISBN-13(EAN): 9789811397523
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Описание: This book will fulfill the needs of time-domain spectroscopists who wish to deepen their understanding of both the theoretical and experimental features of this cutting-edge spectroscopy technique. Coherent Multidimensional Spectroscopy (CMDS) is a state-of-the-art technique with applications in a variety of subjects like chemistry, molecular physics, biochemistry, biophysics, and material science. Due to dramatic advancements of ultrafast laser technologies, diverse multidimensional spectroscopic methods utilizing combinations of THz, IR, visible, UV, and X-ray radiation sources have been developed and used to study real time dynamics of small molecules in solutions, proteins and nucleic acids in condensed phases and membranes, single and multiple excitons in functional materials like semiconductors, quantum dots, and solar cells, photo-excited states in light-harvesting complexes, ions in battery electrolytes, electronic and conformational changes in charge or proton transfer systems, and excess electrons and protons in water and biological systems.

Автор: P.-C. Cheng; T.H. Lin; W.L. Wu; J.L. Wu
Название: Multidimensional Microscopy
ISBN: 1461383684 ISBN-13(EAN): 9781461383680
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Описание: Modern cell biology is being revolutionized by the wedding of microscopy and computers. It includes extensive descriptions of confocal microscopy and its applications, as well as chapters on X-ray microscopy, low-voltage electron microscopy, and image reconstruction.

Автор: N. Bleistein; J.K. Cohen; John W. Jr. Stockwell
Название: Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion
ISBN: 1461265142 ISBN-13(EAN): 9781461265146
Издательство: Springer
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Описание: For more than 80 years, the oil and gas industry has used seismic methods to construct images and determine physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth.

Автор: Anatoli V. Skorokhod; Frank C. Hoppensteadt; Habib
Название: Random Perturbation Methods with Applications in Science and Engineering
ISBN: 1468492713 ISBN-13(EAN): 9781468492712
Издательство: Springer
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Описание: This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications.Appeals to researchers and graduate students who require tools to investigate stochastic systems.