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Perturbation Theory for the Schrodinger Operator With a Periodic Potential: Lecture Notes in Mathematics Vol.1663(1997)  무료배송

 
지은이 : Yulia E. Karpeshina
출판사 : Springer-Verlag
판수 : first edition
페이지수 : 352
ISBN : 3540631364
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 124,600원 ( 무료배송 )
적립금 : 3,738 Point
     

 
The book is devoted to perturbation theory for the Schr�dinger 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 Schr�dinger 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.

 

1. Introduction
2. Perturbation Theory for a Polyharmonic Operator in the Case of 2l>n
3. Perturbation Theory for the Polyharmonic Operator in the Case 4l>n+1
4. Perturbation Theory for Schrodinger Operator with a Periodic Potential
5. The Interaction of a Free Wave with a Semi-bounded Crystal

 

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