Inner products of resonance solutions in 1D quantum barriers

DOI10.1088/1751-8113/43/17/175301zbMath1188.81158arXiv1002.3051OpenAlexW2010430505MaRDI QIDQ3560998

J. Julve, F. J. de Urríes

Publication date: 17 May 2010

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

Full work available at URL: https://arxiv.org/abs/1002.3051

zbMATH Keywords

Gamow statesGaussian convergence factor

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Resonance in context of PDEs (35B34)

Related Items (6)

Properties of Stark resonant states in exactly solvable systems ⋮ Inner products of energy eigenstates for a 1-D quantum barrier ⋮ On the entropy for unstable fermionic and bosonic states ⋮ On the convergence of quantum resonant-state expansion ⋮ A discussion on the properties of Gamow states ⋮ The rigged Hilbert space approach to the Gamow states

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