{ "item_title" : "Spectral Properties of Schroedinger Operators and Scattering Theory", "item_author" : [" Shmuel Agmon "], "item_description" : "These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schr dinger operators H=-D+V(x) (D the Laplacian and V a potential) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/8/87/642/247/8876422471_b.jpg", "price_data" : { "retail_price" : "14.95", "online_price" : "14.95", "our_price" : "14.95", "club_price" : "14.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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