The Resource Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications, by Oktay Veliev, (electronic resource)

Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications, by Oktay Veliev, (electronic resource)

Label
Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications
Title
Multidimensional Periodic Schrödinger Operator
Title remainder
Perturbation Theory and Applications
Statement of responsibility
by Oktay Veliev
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch functions for arbitrary dimension. Moreover, the measure of the iso-energetic surfaces in the high energy region is construct and estimated. It implies the validity of the Bethe-Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential. This way the possibility to determine the potential constructively by using Bloch eigenvalues as input data is given. In the end an algorithm for the unique determination of the potential is given
Member of
http://library.link/vocab/creatorName
Veliev, Oktay
Image bit depth
0
LC call number
QC173.96-174.52
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Tracts in Modern Physics,
Series volume
263
http://library.link/vocab/subjectName
  • Physics
  • Quantum theory
  • Physics
  • Quantum Physics
  • Solid State Physics
  • Mathematical Physics
Label
Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications, by Oktay Veliev, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions -- Constructive Determination of the Spectral Invariants -- Periodic Potential from the Spectral Invariants -- Conclusions
Dimensions
unknown
Extent
X, 242 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319166438
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-16643-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-16643-8
Label
Multidimensional Periodic Schrödinger Operator : Perturbation Theory and Applications, by Oktay Veliev, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Asymptotic Formulas for the Bloch Eigenvalues and Bloch Functions -- Constructive Determination of the Spectral Invariants -- Periodic Potential from the Spectral Invariants -- Conclusions
Dimensions
unknown
Extent
X, 242 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319166438
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-16643-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-16643-8

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