Convergence and completeness for square-well Stark resonant state expansions

DOI10.1063/1.5042523zbMath1404.81095arXiv1802.01317OpenAlexW2786894314MaRDI QIDQ4561714

Miro Kolesik, Dávid Juhász, Per K. Jakobsen

Publication date: 12 December 2018

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

Full work available at URL: https://arxiv.org/abs/1802.01317

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Resonance in context of PDEs (35B34)

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Uses Software

• DLMF

Cites Work

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• Non-Hermitian Quantum Mechanics
• On the Unstable States in Quantum Field Theory
• The structure of a non-relativistic S -matrix
• The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry
• Resonance expansions in quantum mechanics
• Biorthogonal quantum mechanics
• Theory of nuclear reactions

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