On the convergence of quantum resonant-state expansion

DOI10.1063/1.4944625zbMath1333.81416OpenAlexW2332812095MaRDI QIDQ2798672

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Publication date: 13 April 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4944625

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Resonance in context of PDEs (35B34) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items (5)

Convergence and completeness for square-well Stark resonant state expansions ⋮ The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry ⋮ Evolution of electric-field-induced quasibound states and resonances in one-dimensional open quantum systems ⋮ Irreversibility and the breaking of resonance-antiresonance symmetry ⋮ Constructing a partially transparent computational boundary for UPPE using leaky modes

Uses Software

• DLMF

Cites Work

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• Resonant-state expansion of the Green's function of open quantum systems
• Resonances/decaying states and the mathematics of quantum physics
• Purely discrete expansion of the reflection amplitude involving resonant states
• Non-Hermitian Quantum Mechanics
• Inner products of resonance solutions in 1D quantum barriers
• Decay in a uniform field: an exactly solvable model
• Resonance expansions in quantum mechanics
• Biorthogonal quantum mechanics

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