Introduction to quantum graphs /

Gespeichert in:
Weitere Titel:
1. Operators on graphs. Quantum graphs
2. Quantum graph operators. Special topics
3. Spectra of quantum graphs
4. Spectra of periodic graphs
5. Spectra of quantum graphs. Special topics
6. Quantum chaos on graphs
7. Some applications and generalizations
Appendix A. Some notions of graph theory
Appendix B. Linear operators and operator-functions
Appendix C. Structure of spectra
Appendix D. Symplectic geometry and extension theory
1. Verfasser:
Berkolaiko, Gregory
Weitere Verfasser:
Kuchment, Peter
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Providence, Rhode Island : American Mathematical Society, [2013]
Umfang:
1 online resource (xiii, 270 pages : illustrations)
Mode of access : World Wide Web
Format Details:
Mode of access : World Wide Web
Bibliografie:
Includes bibliographical references (pages 227-266) and index.
Schriftenreihe:
Mathematical Surveys and Monographs,
Sekundärform:
Publikations­art: Electronic reproduction.
Verlag: Providence, Rhode Island :: American Mathematical Society.
Publikations­datum: 2012
ISBN:
9780821894552 (online)
ISSN:
2331-7159 ;
0076-5376
DOI:
http://dx.doi.org/10.1090/surv/186
Zugangseinschränkungen:
Access is restricted to licensed institutions
Schlagworte:
Quantum graphs.
Boundary value problems.
Combinatorics > Graph theory > Graphs and linear algebra (matrices, eigenvalues, etc.).
Ordinary differential equations > Boundary value problems > Boundary value problems on graphs and networks.
Partial differential equations > Spectral theory and eigenvalue problems > Spectral theory and eigenvalue problems.
Partial differential equations > Miscellaneous topics > Partial differential equations on graphs and networks (ramified or polygonal spaces).
Operator theory > Miscellaneous applications of operator theory > Applications in chemistry and life sciences.
Global analysis, analysis on manifolds > Partial differential equations on manifolds; differential operators > Spectral problems; spectral geometry; scattering theory.
Quantum theory > General mathematical topics and methods in quantum theory > Quantum mechanics on special spaces: manifolds, fractals, graphs, etc..
Quantum theory > General mathematical topics and methods in quantum theory > Quantum chaos.
Statistical mechanics, structure of matter > Applications to specific types of physical systems > Superconductors.
Statistical mechanics, structure of matter > Applications to specific types of physical systems > Quantum wave guides, quantum wires.
Statistical mechanics, structure of matter > Applications to specific types of physical systems > Nanostructures and nanoparticles.
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