Introduction to quantum graphs /
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Main Authors: | |
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Group Author: | |
Published: |
American Mathematical Society,
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Publisher Address: | Providence, Rhode Island : |
Publication Dates: | [2013] |
Literature type: | Book |
Language: | English |
Series: |
Mathematical surveys and monographs ;
v. 186 |
Subjects: |
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
Statistical mechanics, structure of matter
> Applications to specific types of physical systems
> Superconductors
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Carrier Form: | xiii, 270 pages : illustrations ; 27 cm. |
Bibliography: | Includes bibliographical references (pages 227-266) and index. |
ISBN: |
9780821892114 (hardback) : 0821892118 (hardback) |
Index Number: | QA166 |
CLC: | O413 |
Call Number: | O413/B513 |
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. |