{"product_id":"perturbation-theory-for-the-schrodinger-operator-with-a-periodic-potential-von-yulia-e-karpeshina","title":"Perturbation Theory for the Schrödinger Operator with a Periodic Potential","description":"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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540631361\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540631361","offer_id":39427869376605,"sku":"9783540631361","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/f44c5728-3a7c-4350-909b-abdfdd898a50.jpg?v=1772085201","url":"https:\/\/shop.autorenwelt.de\/products\/perturbation-theory-for-the-schrodinger-operator-with-a-periodic-potential-von-yulia-e-karpeshina","provider":"Autorenwelt Shop","version":"1.0","type":"link"}