Bound states and scattering coefficients of the \(-a\delta(x)+b{\delta}'(x)\) potential
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Publication:653532
DOI10.1016/j.physleta.2009.02.025zbMath1228.81149OpenAlexW1670001775MaRDI QIDQ653532
Javier Negro, Luis-Miguel Nieto, Manuel Gadella
Publication date: 19 December 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.02.025
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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- Self-adjoint Hamiltonians with a mass jump: general matching conditions
- A study of the bound states for square potential wells with position-dependent mass
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- Symmetries of Schrödinger operators with point interactions
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- 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
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