| 000 -LEADER |
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| fixed length control field |
02604nam a2200241Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20231221130041.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180205s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780821892114 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470425999 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA166.165 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Berkolaiko, Gregory |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to quantum graphs |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
[c2016] |
| Place of publication, distribution, etc. |
Providence, RI: |
| 300 ## - Physical Description |
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| Pages: |
270 p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Mathematical surveys and monographs |
| Volume/sequential designation |
186 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface<br/>Introduction<br/>Chapter 1. Operators on Graphs. Quantum graphs<br/>Chapter 2. Quantum Graph Operators. Special Topics<br/>Chapter 3. Spectra of Quantum Graphs<br/>Chapter 4. Spectra of Periodic Graphs<br/>Chapter 5. Spectra of Quantum Graphs. Special Topics<br/>Chapter 6. Quantum Chaos on Graphs<br/>Chapter 7. Some Applications and Generalizations<br/>Appendix A. Some Notions of Graph Theory<br/>Appendix B. Linear Operators and Operator-Functions<br/>Appendix C. Structure of Spectra<br/>Appendix D. Symplectic Geometry and Extension Theory<br/>Bibliography<br/>Index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
A “quantum graph” is a graph considered as a one-dimensional complex and equipped with a differential operator (“Hamiltonian”). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional (e.g., “meso-” or “nano-scale”) system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. One can mention, for instance, dynamical systems theory, control theory, quantum chaos, Anderson localization, microelectronics, photonic crystals, physical chemistry, nano-sciences, superconductivity theory, etc. Quantum graphs present many non-trivial mathematical challenges, which makes them dear to a mathematician’s heart. Work on quantum graphs has brought together tools and intuition coming from graph theory, combinatorics, mathematical physics, PDEs, and spectral theory. This book provides a comprehensive introduction to the topic, collecting the main notions and techniques. It also contains a survey of the current state of the quantum graph research and applications.--- summary provided by publisher |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Kuchment, Peter |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://www.ams.org/books/surv/186/">https://www.ams.org/books/surv/186/</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
Book |
