A one-dimensional model of resonances with a delta barrier and mass jump

DOI10.1016/j.physleta.2009.09.002zbMath1234.81067OpenAlexW2063486833MaRDI QIDQ407871

J. J. Álvarez, F. J. H. Heras, Manuel Gadella, Luis-Miguel Nieto

Publication date: 28 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.09.002

zbMATH Keywords

resonancesDirac deltasingular potentialsmass jump

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Resonance in context of PDEs (35B34) Inelastic and multichannel quantum scattering (81U35)

Related Items (5)

On scattering from the one-dimensional multiple Dirac delta potentials ⋮ A study of resonances in a one-dimensional model with singular Hamiltonian and mass jumps ⋮ Bound states and scattering coefficients of self-adjoint Hamiltonians with a mass jump ⋮ Some Recent Results on Contact or Point Supported Potentials ⋮ Controllable resonant tunnelling through single-point potentials: a point triode

Cites Work

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• Self-adjoint Hamiltonians with a mass jump: general matching conditions
• Irregular dynamics in a solvable one-dimensional quantum graph
• Distribution theory for discontinuous test functions and differential operators with generalized coefficients
• Gamow vectors for degenerate scattering resonances
• Unstable relativistic quantum fields: two models
• Resonances for Hamiltonians with a delta perturbation in one dimension
• On the perturbation of continuous spectra

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