Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorKarpeshina, Yulia E. author
TitlePerturbation Theory for the Schrรถdinger Operator with a Periodic Potential [electronic resource] / by Yulia E. Karpeshina
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect tohttp://dx.doi.org/10.1007/BFb0094264
Descript CCCLXIV, 356 p. online resource

SUMMARY

The book is devoted to perturbation theory for the Schrรถdinger 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 Schrรถdinger 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


CONTENT

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 Schrรถdinger operator with a periodic potential -- The interaction of a free wave with a semi-bounded crystal


Mathematics Partial differential equations Physics Mathematics Partial Differential Equations Theoretical Mathematical and Computational Physics



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram