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Introduction to quantum graphs / Gregory Berkolaiko, Peter Kuchment.

By: Berkolaiko, Gregory, 1976-.
Contributor(s): Kuchment, Peter, 1949-.
Material type: TextTextSeries: Mathematical surveys and monographs ; volume 186.Publisher: Telangana, India : American Mathematical Society, [2013]Copyright date: ©2013Edition: first indian edition, 2016.Description: xiii, 270 pages : Rs. 960.00 illustrations ; 27 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470425999 (pbk.).Subject(s): 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 nanoparticlesDDC classification: 530.1201/5115 Other classification: 05C50 | 34B45 | 35Pxx | 35R02 | 47N60 | 58J50 | 81Q35 | 81Q50 | 82D55 | 82D77 | 82D80
Contents:
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.
List(s) this item appears in: 2016-11-18 | 2021-08-04
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
530.120 BER (Browse shelf) Available 10883
Book Chennai Mathematical Institute
General Stacks
530.120 BER (Browse shelf) Available 10006
Total holds: 0

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.