The regulated four-parameter one-dimensional point interaction

DOI10.1088/0305-4470/29/18/033zbMath0903.47042arXivhep-th/9511010OpenAlexW1991115647MaRDI QIDQ4393648

R. Tarrach, José María Román

Publication date: 10 November 1998

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

Full work available at URL: https://arxiv.org/abs/hep-th/9511010

zbMATH Keywords

one-dimensional quantum mechanicsexact and perturbative solutionsfour-parameter point interaction

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (10)

Regularization of a strong–weak duality between pointlike interactions in one dimension ⋮ Distribution theory for Schrödinger’s integral equation ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ The infinite square well with a singular perturbation ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL ⋮ Symmetry, duality, and anholonomy of point interactions in one dimension ⋮ A free particle on a circle with point interaction ⋮ GENERALIZED POINT INTERACTION AND TUNNELING TIMES ⋮ Regularization of energy-dependent pointlike interactions in 1D quantum mechanics

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