Introduction to quantum graphs / Gregory Berkolaiko, Peter Kuchment.
Material type:
TextSeries: Mathematical surveys and monographs ; volume 186Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Copyright date: ©2013Description: xiii, 270 pages : illustrations ; 27 cmContent type: - text
- unmediated
- volume
- 9780821892114 (alk. paper)
- 0821892118 (alk. paper)
- 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
- 530.12015115 B531 i 23
- QA166.165 .B47 2013
- 05C50 | 34B45 | 35Pxx | 35R02 | 47N60 | 58J50 | 81Q35 | 81Q50 | 82D55 | 82D77 | 82D80
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Chittagong University Library | 530.12015115 B531 i (Browse shelf(Opens below)) | c-1 | Available | 341328 | ||
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Chittagong University Library | 530.12015115 B531 i (Browse shelf(Opens below)) | C-2 | Available | 341329 |
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| 530.12/W423q The quantum theory of fields x | 530.12/W423q The quantum theory of fields x | ৫৩০.১২/গোল৭কো কোয়ান্টাম বলবিজ্ঞান - | 530.12015115 B531 i Introduction to quantum graphs / | 530.12015115 B531 i Introduction to quantum graphs / | 530.1204/S941w Waves and oscillations x | 530.1204/S941w Waves and oscillations x |
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.
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