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Field name	Details
Dewey Class	515.353
Title	Perturbation Theory for the Schrödinger Operator with a Periodic Potential ([EBook]) / by Yulia E. Karpeshina.
Author	Karpeshina, Yulia E. , 1956-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1997.
Physical Details	CCCLXIV, 356 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1663
ISBN	9783540691563
Summary Note	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.:
Contents note	Perturbation theory for a polyharmonic operator in the case of 2l>n -- Perturbation theory for the polyharmonic operator in the case 4l>n+1 -- Perturbation theory for Schrödinger operator with a periodic potential -- The interaction of a free wave with a semi-bounded crystal.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0094264
Links to Related Works	Subject References: Mathematics . Partial differential equations . Perturbation . Schrödinger operator . Theoretical, Mathematical and Computational Physics . Authors: Karpeshina, Yulia E. 1956- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.353 .

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Perturbation Theory for the Schrödinger Operator with a Periodic Potential

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