UID:
almahu_9947921557502882
Format:
CCCLXIV, 356 p.
,
online resource.
ISBN:
9783540691563
Series Statement:
Lecture Notes in Mathematics, 1663
Content:
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.
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540631361
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0094264
URL:
Volltext
(lizenzpflichtig)
