TY  - BOOK
AU  - Karpeshina,Yulia E.
TI  - Perturbation theory for the Schrödinger operator with a periodic potential
T2  - Lecture notes in mathematics,
SN  - 9783540691563
AV  - QC174.17.S3 
U1  - 515/.7242 21
PY  - 1997///
CY  - Berlin, New York
PB  - Springer
KW  - Schrödinger operator
KW  - Perturbation (Quantum dynamics)
KW  - Perturbation (Mathematics)
KW  - Mathematical physics
KW  - Opérateur de Schrödinger
KW  - Perturbation (Mécanique quantique)
KW  - Perturbation (Mathématiques)
KW  - Physique mathématique
KW  - Física matemática
KW  - embne
KW  - Perturbación (Matemáticas)
KW  - embucm
KW  - fast
KW  - Storingsrekening
KW  - gtt
KW  - Equacoes diferenciais parciais
KW  - larpcal
KW  - Perturbation (mathématiques)
KW  - ram
KW  - Schrödinger, Opérateur de
N1  - Includes bibliographical references (pages 339-349) and index; Introduction -- Perturbation Theory for a Polyharmonic Operator in the Case of 2l> n -- Perturbation Theory for the Polyharmonic Operator in the Case of 4l>n+1 -- Perturbation Theory for Schrdinger Operator with a Periodic Potential -- The Interaction of a Free Wave with a Semi- bounded Crystal -- References -- Index; University staff and students only. Requires University Computer Account login off-campus
N2  - The book is devoted to perturbation theory for the Schrdinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrdinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0094264
ER  -