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1. |
Record Nr. |
UNINA9910438107203321 |
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Autore |
Zhang Wentao |
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Titolo |
Photoemission spectroscopy on high temperature superconductor : a study of Bi2Sr2CaCu2O8 by laser-based angle-resolved photoemission / / Wentao Zhang |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg, : Springer, 2012, c2013 |
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ISBN |
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1-283-91044-6 |
3-642-32472-X |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (146 p.) |
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Collana |
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Disciplina |
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Soggetti |
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Photoelectron spectroscopy |
Photoemission |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Introduction -- Angle-Resolved Photoemission Spectroscopy -- Growth of Bi2Sr2Ca1−xDyxCu2O8+δ Single Crystals -- Nodal Electron Coupling in the Bi2Sr2Ca1Cu2O8+δ -- High Energy Dispersion in Bi2Sr2Ca1Cu2O8+δ -- Normal Electron Self-Energy and Pairing Self-Energy in Bi2Sr2CaCu2O8 -- Superconducting Gap and Pseudogap in Bi2Sr2CaCu2O8+δ -- Summary. |
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Sommario/riassunto |
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This book mainly focuses on the study of the high-temperature superconductor Bi2Sr2CaCu2O8 by vacuum, ultra-violet, laser-based, angle-resolved photoemission spectroscopy (ARPES). A new form of electron coupling has been identified in Bi2212, which occurs in the superconducting state. For the first time, the Bogoliubov quasiparticle dispersion with a clear band back-bending has been observed with two peaks in the momentum distribution curve in the superconducting state at a low temperature. Readers will find useful information about the technique of angle-resolved photoemission and the study of high-temperature superconductors using this technique. Dr. Wentao Zhang received his PhD from the Institute of Physics at the Chinese Academy of Sciences. |
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2. |
Record Nr. |
UNINA9910999779103321 |
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Autore |
Vessella Sergio |
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Titolo |
Unique Continuation Properties for Partial Differential Equations : Introduction to the Stability Estimates for Inverse Problems / / by Sergio Vessella |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (XVI, 957 p. 26 illus., 14 illus. in color.) |
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Collana |
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Birkhäuser Advanced Texts Basler Lehrbücher, , 2296-4894 |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Mathematics |
Analysis |
Anàlisi matemàtica |
Estadística matemàtica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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- 1. Introduction -- Part I: The Sobolev Spaces and the Boundary Value Problems -- 2. Main notations and basic formulas -- 3. Overview of measure theory and functional analysis -- 4. Notes on the distribution theory and Fourier transform -- 5. The Sobolev spaces -- 6. The boundary value problems for second–order elliptic equations and the Dirichlet to Neumann map -- Part II: Cauchy Problem for PDEs and Stability Estimates -- 7. The Cauchy problem for the first–order PDEs -- 8. Real analytic functions -- 9. The Cauchy problem for PDEs with analytic coefficients -- 10. Uniqueness for an inverse problem -- 11. The Hadamard example. Solvability of the Cauchy problem and continuous dependence by the data -- 12. Ill–posed problems. Conditional stability -- 13. The John stability Theorem for the Cauchy problem for PDEs with analytic coefficients -- Part III: Carleman Estimates and Unique Continuation Properties -- 14. Carleman estimates: a first look with simple examples and basic applications -- 15. Carleman estimates and the Cauchy problem for operators with 𝑪∞ coefficients in the principal part -- 16. Carleman estimates for reduced |
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regularity coefficients -- 17. Carleman estimates for second–order operators with real coefficients in the principal part -- 18. Optimal three sphere and doubling inequality for second–order elliptic equations -- 19. Miscellanea. |
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Sommario/riassunto |
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This book provides a comprehensive and self-contained introduction to the study of the Cauchy problem and unique continuation properties for partial differential equations. Aimed at graduate and advanced undergraduate students, it bridges foundational concepts such as Lebesgue measure theory, functional analysis, and partial differential equations with advanced topics like stability estimates in inverse problems and quantitative unique continuation. By presenting detailed proofs and illustrative examples, the text equips readers with a deeper understanding of these fundamental topics and their applications in mathematical analysis. Designed to serve as both a learning resource and a reference, this book is particularly suited for those pursuing research in mathematical physics, inverse problems, or applied analysis. |
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