On the spectrum of the Schrödinger Hamiltonian with a particular configuration of three one-dimensional point interactions
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Publication:962557
DOI10.1016/S0034-4877(10)00004-2zbMath1198.47091MaRDI QIDQ962557
Silvestro Fassari, Fabio Rinaldi
Publication date: 7 April 2010
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (7)
Regularization of a strong–weak duality between pointlike interactions in one dimension ⋮ On the spectrum of the Schrödinger Hamiltonian of the one-dimensional harmonic oscillator perturbed by two identical attractive point interactions ⋮ The spectrum of the Schrödinger–Hamiltonian for trapped particles in a cylinder with a topological defect perturbed by two attractive delta interactions ⋮ On the spectrum of two-particle Schrödinger operator with point interaction ⋮ Two-parametric ${\delta'}$ -interactions: approximation by Schrödinger operators with localized rank-two perturbations ⋮ On the spectrum of the two-particle Schrödinger operator with point interaction ⋮ A note on the discrete spectrum of Gaussian wells. I: The ground state energy in one dimension
Cites Work
- On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions
- New situation in quantum mechanics (wonderful potentials from the inverse problem)
- Spectral properties of a short-range impurity in a quantum dot
- Potential approximations to \(\delta'\): an inverse Klauder phenomenon with norm-resolvent convergence.
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