Publisher |
Providence, Rhode Island : American Mathematical Society |
Year |
[2013] |
Size |
1 online resource (xiii, 270 pages : illustrations) |
Authors
|
*Berkolaiko, Gregory 1976- Kuchment, Peter 1949-
|
Subjects |
LCSH:Quantum graphs LCSH:Boundary value problems FREE:Combinatorics -- Graph theory -- Graphs and linear algebra (matrices, eigenvalues, etc.)
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FREE:Ordinary differential equations -- Boundary value problems -- Boundary value problems on graphs and networks
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FREE:Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems
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FREE:Partial differential equations -- Miscellaneous topics -- Partial differential equations on graphs and networks (ramified or polygonal spaces)
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FREE:Operator theory -- Miscellaneous applications of operator theory -- Applications in chemistry and life sciences
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FREE:Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory
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FREE:Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
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FREE:Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum chaos
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FREE:Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Superconductors
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FREE:Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Quantum wave guides, quantum wires
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FREE:Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Nanostructures and nanoparticles
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|
Contents |
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 |
Notes |
Includes bibliographical references (pages 227-266) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/186 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/186 Information=Contents |