| 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.)
All Subject Search
FREE:Ordinary differential equations -- Boundary value problems -- Boundary value problems on graphs and networks
All Subject Search
FREE:Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems
All Subject Search
FREE:Partial differential equations -- Miscellaneous topics -- Partial differential equations on graphs and networks (ramified or polygonal spaces)
All Subject Search
FREE:Operator theory -- Miscellaneous applications of operator theory -- Applications in chemistry and life sciences
All Subject Search
FREE:Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory
All Subject Search
FREE:Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
All Subject Search
FREE:Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum chaos
All Subject Search
FREE:Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Superconductors
All Subject Search
FREE:Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Quantum wave guides, quantum wires
All Subject Search
FREE:Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Nanostructures and nanoparticles
All Subject Search
|
| 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 |
