TY  - BOOK
AU  - Berkolaiko,Gregory
AU  - Kuchment,Peter
TI  - Introduction to quantum graphs
T2  - Mathematical surveys and monographs
SN  - 9780821892114 (alk. paper)
AV  - QA166.165 .B47 2013
U1  - 530.12015115 B531 i 23
PY  - 2013///]
CY  - Providence, Rhode Island
PB  - American Mathematical Society
KW  - Quantum graphs
KW  - Boundary value problems
KW  - Combinatorics -- Graph theory -- Graphs and linear algebra (matrices, eigenvalues, etc.)
KW  - msc
KW  - Ordinary differential equations -- Boundary value problems -- Boundary value problems on graphs and networks
KW  - Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems
KW  - Partial differential equations -- Miscellaneous topics -- Partial differential equations on graphs and networks (ramified or polygonal spaces)
KW  - Operator theory -- Miscellaneous applications of operator theory -- Applications in chemistry and life sciences
KW  - Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory
KW  - Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc
KW  - Quantum theory -- General mathematical topics and methods in quantum theory -- Quantum chaos
KW  - Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Superconductors
KW  - Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Quantum wave guides, quantum wires
KW  - Statistical mechanics, structure of matter -- Applications to specific types of physical systems -- Nanostructures and nanoparticles
N1  - Includes bibliographical references (pages 227-266) and index; Operators on graphs : quantum graphs -- Quantum graph operators : special topics -- Spectra of quantum graphs -- Spectra of periodic graphs -- Spectra of quantum graphs : special topics -- Quantum chaos on graphs -- 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
ER  -