Many-body system with a four-parameter family of point interactions in one dimension

DOI10.1088/0305-4470/32/26/311zbMath0974.81067arXivquant-ph/9903098OpenAlexW2044441744WikidataQ56764330 ScholiaQ56764330MaRDI QIDQ4947632

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Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9903098

zbMATH Keywords

exact solutionsscattering problemequal massespairwise interaction\(\delta\)-function potentialexact bound statesMcGuire method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (9)

Distribution theory for Schrödinger’s integral equation ⋮ Green function and resolvent operator of a Schrödinger equation with general point interaction ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ Gauge fields, point interactions and few-body problems in one dimension ⋮ INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL ⋮ Many body problems with ``spin-related contact interactions ⋮ Controllable resonant tunnelling through single-point potentials: a point triode ⋮ GENERALIZED POINT INTERACTION AND TUNNELING TIMES ⋮ Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials

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