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 to
Descript CCCLXIV, 356 p. online resource


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


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


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


facebook   instragram