Properties of Stark resonant states in exactly solvable systems

DOI10.1155/2015/125832zbMath1337.81060OpenAlexW2203071038WikidataQ59102422 ScholiaQ59102422MaRDI QIDQ277928

Miroslav Kolesik, Jeffrey M. Brown

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1155/2015/125832

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Special quantum systems, such as solvable systems (81Q80)

Cites Work

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• Resonances/decaying states and the mathematics of quantum physics
• Wannier-Stark resonances in optical and semiconductor superlattices
• Non-Hermitian Quantum Mechanics
• Inner products of resonance solutions in 1D quantum barriers
• Resonance expansions in quantum mechanics
• Biorthogonal quantum mechanics

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