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- catalog abstract "The book is devoted to perturbation theory for the Schrödinger 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 Schrödinger 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.".
- catalog contributor b10490008.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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 Schrödinger Operator with a Periodic Potential -- The Interaction of a Free Wave with a Semi- bounded Crystal -- References -- Index.".
- catalog description "The book is devoted to perturbation theory for the Schrödinger 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 Schrödinger 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.".
- catalog extent "vii, 352 p. :".
- catalog hasFormat "Perturbation theory for the Schrödinger operator with a periodic potential.".
- catalog identifier "3540631364 (softcover : alk. paper)".
- catalog isFormatOf "Perturbation theory for the Schrödinger operator with a periodic potential.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1663.".
- catalog isPartOf "Lecture notes in mathematics ; 1663".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Perturbation theory for the Schrödinger operator with a periodic potential.".
- catalog subject "515/.7242 21".
- catalog subject "Differential equations, partial.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Perturbation (Mathematics)".
- catalog subject "Perturbation (Quantum dynamics)".
- catalog subject "QC174.17.S3 K37 1997".
- catalog subject "Schrödinger operator.".
- catalog tableOfContents "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 Schrödinger Operator with a Periodic Potential -- The Interaction of a Free Wave with a Semi- bounded Crystal -- References -- Index.".
- catalog title "Perturbation theory for the Schrödinger operator with a periodic potential / Yulia E. Karpeshina.".
- catalog type "text".