One dimensional models with a singular potential of the type \(-\alpha \delta (x)+\beta \delta^{\prime}(x)\)
From MaRDI portal
Publication:649938
DOI10.1007/s10773-010-0641-6zbMath1226.81110OpenAlexW2048153330MaRDI QIDQ649938
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/s10773-010-0641-6
Related Items
Conditions for realizing one-point interactions from a multi-layer structure model ⋮ Regularization of a strong–weak duality between pointlike interactions in one dimension ⋮ On the spectrum of two-particle Schrödinger operator with point interaction ⋮ Two-parametric ${\delta'}$ -interactions: approximation by Schrödinger operators with localized rank-two perturbations ⋮ Mass-jump and mass-bump boundary conditions for singular self-adjoint extensions of the Schrödinger operator in one dimension ⋮ Effects of two successive parity-invariant point interactions on one-dimensional quantum transmission: resonance conditions for the parameter space ⋮ On the spectrum of the one-particle Schrödinger operator with point interaction ⋮ Exact results for nonequilibrium dynamics in Wigner phase space ⋮ Some Recent Results on Contact or Point Supported Potentials ⋮ Schrödinger operators with singular rank-two perturbations and point interactions ⋮ On the spectrum of the two-particle Schrödinger operator with point interaction ⋮ On the One-Dimensional Harmonic Oscillator with a Singular Perturbation ⋮ Regularization of δ′ potential in general case of deformed space with minimal length ⋮ Scattering data and bound states of a squeezed double-layer structure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bound states and scattering coefficients of the \(-a\delta(x)+b{\delta}'(x)\) potential
- Some remarks on the \(\delta\) '-interaction in one dimension
- Symmetries of Schrödinger operators with point interactions
- Distribution theory for discontinuous test functions and differential operators with generalized coefficients
- Transmission–reflection problem with a potential of the form of the derivative of the delta function
- Generalized point interactions in one-dimensional quantum mechanics
- On the existence of resonances in the transmission probability for interactions arising from derivatives of Dirac s delta function
- The supersymmetric modified Pöschl-Teller and delta well potentials
