TY - GEN AU - Berkolaiko,Gregory AU - Kuchment,Peter TI - Introduction to quantum graphs T2 - Mathematical surveys and monographs SN - 9780821892114 (alk. paper) AV - QA166.165 U1 - 530.12015115 PY - 2013/// CY - Providence: PB - American Mathematical Society KW - Quantum graphs KW - Boundary value problems KW - Combinatorics -- Graph theory -- Graphs and linear algebra (matrices, eigenvalues, etc.) 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 - Anexe p. 209 Bibliografie p. 227 Index p. 267; 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 -