Yulia E. Karpeshina

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 1663
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-63136-1
• 1997.
• Seitenzahl: 364
• Erscheinungstermin: 19. August 1997
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 540g
• ISBN-13: 9783540631361
• ISBN-10: 3540631364
• Artikelnr.: 09221305

Inhaltsangabe

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.