Localization of non-relativistic particles
classification
🪐 quant-ph
hep-thmath-phmath.MP
keywords
localizationhilbertnon-relativisticparticleproblemspacecontributionformulate
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This paper is a contribution to the problem of particle localization in non-relativistic Quantum Mechanics. Our main results will be (1) to formulate the problem of localization in terms of invariant subspaces of the Hilbert space, and (2) to show that the rigged Hilbert space incorporates particle localization in a natural manner.
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