The infinite square well with a singular perturbation

DOI10.1007/s10773-011-0690-5zbMath1226.81111OpenAlexW1974322013MaRDI QIDQ649944

Juan-Miguel Gracia

Publication date: 25 November 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0690-5

zbMATH Keywords

Green function methodone dimensional singular perturbationsself adjoint extensions

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10)

Related Items (6)

On the spectrum of two-particle Schrödinger operator with point interaction ⋮ On the spectrum of the one-particle Schrödinger operator with point interaction ⋮ The infinite square well with a point interaction: a discussion on the different parameterizations ⋮ Some Recent Results on Contact or Point Supported Potentials ⋮ On the spectrum of the two-particle Schrödinger operator with point interaction ⋮ On the One-Dimensional Harmonic Oscillator with a Singular Perturbation

Cites Work

• Bound states and scattering coefficients of the \(-a\delta(x)+b{\delta}'(x)\) potential
• Symmetries of Schrödinger operators with point interactions
• Point interactions from flux conservation
• Distribution theory for discontinuous test functions and differential operators with generalized coefficients
• The regulated four-parameter one-dimensional point interaction
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