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02993nam a2200493 4500 |
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121227s1997 gw | s |||| 0|eng d |
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|a 9783540691563
|9 978-3-540-69156-3
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|a 10.1007/BFb0094264
|2 doi
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|a QA370-380
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|a 515.353
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|a Karpeshina, Yulia E.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Perturbation Theory for the Schrödinger Operator with a Periodic Potential
|h [electronic resource] /
|c by Yulia E. Karpeshina.
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|a 1st ed. 1997.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1997.
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|a CCCLXIV, 356 p.
|b online resource.
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|a text
|b txt
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|a computer
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|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1663
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|a 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.
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|a 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.
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|a Partial differential equations.
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|a Mathematical physics.
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|a Partial Differential Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12155
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|a Theoretical, Mathematical and Computational Physics.
|0 http://scigraph.springernature.com/things/product-market-codes/P19005
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783662212660
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|i Printed edition:
|z 9783540631361
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1663
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|u https://doi.org/10.1007/BFb0094264
|z Full Text via HEAL-Link
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|a ZDB-2-LNM
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|a ZDB-2-BAE
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|a Mathematics and Statistics (Springer-11649)
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