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003 BD-ChCU
005 20241104093058.0
008 121009t20132013riua b 001 0 eng
010 _a 2012033434
020 _a9780821892114 (alk. paper)
020 _a0821892118 (alk. paper)
040 _aDLC
_beng
_cDLC
_erda
_dDLC
042 _apcc
050 0 0 _aQA166.165
_b.B47 2013
082 0 0 _a530.12015115 B531 i
_223
084 _a05C50
_a34B45
_a35Pxx
_a35R02
_a47N60
_a58J50
_a81Q35
_a81Q50
_a82D55
_a82D77
_a82D80
_2msc
100 1 _aBerkolaiko, Gregory,
_d1976-
245 1 0 _aIntroduction to quantum graphs /
_cGregory Berkolaiko, Peter Kuchment.
264 1 _aProvidence, Rhode Island :
_bAmerican Mathematical Society,
_c[2013]
264 4 _c©2013
300 _axiii, 270 pages :
_billustrations ;
_c27 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
490 0 _aMathematical surveys and monographs ;
_vvolume 186
504 _aIncludes bibliographical references (pages 227-266) and index.
505 0 _aOperators 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.
650 0 _aQuantum graphs.
650 0 _aBoundary value problems.
650 7 _aCombinatorics -- Graph theory -- Graphs and linear algebra (matrices, eigenvalues, etc.).
_2msc
650 7 _aOrdinary differential equations -- Boundary value problems -- Boundary value problems on graphs and networks.
_2msc
650 7 _aPartial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems.
_2msc
650 7 _aPartial differential equations -- Miscellaneous topics -- Partial differential equations on graphs and networks (ramified or polygonal spaces).
_2msc
650 7 _aOperator theory -- Miscellaneous applications of operator theory -- Applications in chemistry and life sciences.
_2msc
650 7 _aGlobal analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory.
_2msc
650 7 _aQuantum theory -- General mathematical topics and methods in quantum theory -- Quantum mechanics on special spaces: manifolds, fractals, graphs, etc..
_2msc
650 7 _aQuantum theory -- General mathematical topics and methods in quantum theory -- Quantum chaos.
_2msc
650 7 _aStatistical mechanics, structure of matter -- Applications to specific types of physical systems -- Superconductors.
_2msc
650 7 _aStatistical mechanics, structure of matter -- Applications to specific types of physical systems -- Quantum wave guides, quantum wires.
_2msc
650 7 _aStatistical mechanics, structure of matter -- Applications to specific types of physical systems -- Nanostructures and nanoparticles.
_2msc
700 1 _aKuchment, Peter,
_d1949-
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
_n0
999 _c104383
_d104383