Spectral and Scattering Theory
Alexander G. Ramm
Springer Science & Business Media, Apr 30, 1998 - Mathematics - 208 pages
Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications and Computing held in Newark, Delaware, June, 2-, 1997
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A. G. Ramm approximate solutions assume assumption 3.1 asymptotic formula Axiom Banach space boundary conditions boundary value problem center of mass classical clusters complete the proof conclusion consider constant coordinates Corollary corresponding decay defined definition denote Department of Mathematics differential equation differential operators Dirichlet Dirichlet Laplacian domains eigenfunctions eigenvalues elliptic operator embedded eigenvalues energy estimate example exists Ginzburg-Landau given gravitational Green functions Hamiltonian Hence Hilbert space implies inequality integral inverse problem Jost solutions Laplacian limiting absorption principle linear Math metric nonlinear nonselfadjoint number of bound observation obstacle obtain particles periodic potential proof of Lemma proof of Theorem Proposition 4.2 prove quantum quantum-mechanical relation relativistic resp Riesz basis Scattering Theory Schrodinger equation Schrodinger operator Section selfadjoint Shubov solutions of 1.1 Spectral and Scattering spectrum subcritical operator symmetric Theorem 2.1 transformation uniqueness theorem vectors Volterra Volterra operator waveguide weak perturbation zeros