Introduction to quantum graphs
Berkolaiko, Gregory
Introduction to quantum graphs Gregory Berkolaiko, Peter Kuchment - Providence: American Mathematical Society, 2013 - xiii, 270 p. grap0hs 27 cm. - Mathematical surveys and monographs ; volume 186 .
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.
eng
9780821892114 (alk. paper) 0821892118 (alk. paper)
2012033434
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.
QA166.165
530.12015115
Introduction to quantum graphs Gregory Berkolaiko, Peter Kuchment - Providence: American Mathematical Society, 2013 - xiii, 270 p. grap0hs 27 cm. - Mathematical surveys and monographs ; volume 186 .
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.
eng
9780821892114 (alk. paper) 0821892118 (alk. paper)
2012033434
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.
QA166.165
530.12015115