Resonances/decaying states and the mathematics of quantum physics

DOI10.1016/S0034-4877(11)60018-9zbMath1248.81099MaRDI QIDQ658621

Arno R. Bohm

Publication date: 13 January 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Gamow statesBreit-Wigner resonancesHardy space axiomlifetime-width relation for quasi-stable particlesPaley-Wiener semigrouptime asymmetric quantum theory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Quantum scattering theory (81U99) Resonance in context of PDEs (35B34) Stochastic quantization (81S20)

Related Items (2)

Properties of Stark resonant states in exactly solvable systems ⋮ On the convergence of quantum resonant-state expansion

Cites Work

• A brief survey of the mathematics of quantum physics
• Über einen Satz von Herrn M. H. Stone
• GENERALIZED EIGENVECTORS FOR RESONANCES IN THE FRIEDRICHS MODEL AND THEIR ASSOCIATED GAMOV VECTORS
• Space-Time Approach to Non-Relativistic Quantum Mechanics
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