An exact treatment of the Dirac delta derivative potential
DOI10.1088/1361-6404/ac1abazbMath1527.81105OpenAlexW3193871559MaRDI QIDQ6108116
Mohammad A. Dalabeeh, Noureddine Chair
Publication date: 29 June 2023
Published in: European Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6404/ac1aba
completeness of eigenfunctionsdelta derivative potentialdiscontinuous wave functionsscattering and bound states
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Atomic physics (81V45) (2)-body potential quantum scattering theory (81U05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Green's functions for elliptic equations (35J08)
Related Items (1)
Cites Work
- Bound states and scattering coefficients of the \(-a\delta(x)+b{\delta}'(x)\) potential
- Symmetries of Schrödinger operators with point interactions
- Distribution theory for discontinuous test functions and differential operators with generalized coefficients
- Boundary conditions for the states with resonant tunnelling across the \(\delta'\)-potential
- Wave function shredding by sparse quantum barriers
- Operator domains and self-adjoint operators
- Transmission–reflection problem with a potential of the form of the derivative of the delta function
- On the existence of resonances in the transmission probability for interactions arising from derivatives of Dirac s delta function
- Boundary conditions at the derivative of a delta function
- Scattering properties of point dipole interactions
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