Journal ArticleDOI
Impossibility of simultaneous localization of wave packets in energy and in configuration space
W.O. Amrein,A.M. Berthier +1 more
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In this paper, the scalar and vector potentials of Schrodinger Hamiltonians were considered and sufficient conditions were given implying that no state vector can have compact support both in the spectral representation of H and in configuration space.About:
This article is published in Reports on Mathematical Physics.The article was published on 1977-02-01. It has received 1 citations till now. The article focuses on the topics: Singular solution & Scalar (mathematics).read more
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Book
Perturbation theory for linear operators
TL;DR: The monograph by T Kato as discussed by the authors is an excellent reference work in the theory of linear operators in Banach and Hilbert spaces and is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.
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Feynman Integrals and the Schrödinger Equation
TL;DR: In this paper, a new interpretation of highly singular attractive potentials in quantum mechanics was proposed, which agrees with classical mechanics in the correspondence limit, for the attractive 1/r2 potential.
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Time dependent approach to scattering from impurities in a crystal
TL;DR: In this article, a time dependent scattering theory for a quantum mechanical particle moving in an infinite, three dimensional crystal with impurity is given, and it is shown that the Hamiltonian for the particle in the crystal without impurity has only absolutely continuous spectrum.
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On support properties of Lp-functions and their Fourier transforms
W.O Amrein,A.M Berthier +1 more
TL;DR: In this article, the authors give a criterion for the intersection of two projections in Hilbert space to be a projection of finite-dimensional range, which is applied to Schrodinger operators in L2(Rn) and to the problem of determining whether there are functions f and its Fourier transform having prescribed support.
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