Gamow-Jordan vectors and non-reducible density operators from higher-order S-matrix poles

DOI10.1063/1.532203zbMath0985.81128arXivquant-ph/9705011OpenAlexW2055759820MaRDI QIDQ4384770

C. Püntmann, Mark Loewe, Arno R. Bohm, P. Patuleanu, Steve Maxson

Publication date: 20 May 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9705011

zbMATH Keywords

S-matrixhigher-order Gamow vectorshigher-order polesJordan vectors

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20)

Related Items (9)

RESONANCE STATES FROM POLES OF THE RELATIVISTIC S-MATRIX ⋮ Degeneracy of resonances: branch point and branch cuts in parameter space ⋮ Liouvillian exceptional points in continuous variable system ⋮ Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics ⋮ Causal symmetry transformations and their representations by semigroups ⋮ Projective Hilbert space structures at exceptional points ⋮ Complex symmetric forms and the emergence of Jordan blocks in analytically extended quantum theory ⋮ The Friedrichs model and its use in resonance phenomena ⋮ Gamov vectors for barrier wells

Cites Work

• Complex dynamical variables for multiparticle systems with analytic interactions. I
• On the (de)stabilization of quantum mechanical binding by potential barriers
• Remarks on Possible Noninvariance under Time Reversal and Charge Conjugation
• Flow bifurcations for an SU(1,1) kicked top in the semiclassical representation
• A quantum mechanical arrow of time and the semigroup time evolution of Gamow vectors

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