scholarly journals Zero energy resonance and the logarithmically slow decay of unstable multilevel systems

2006 ◽  
Vol 47 (8) ◽  
pp. 082103 ◽  
Author(s):  
Manabu Miyamoto
Keyword(s):  
Zero Energy ◽  
Energy Resonance ◽  
Multilevel Systems ◽  
Slow Decay

Long Time Behaviour of Unstable Multilevel Systems in Presence of Zero Energy Resonance

2006 ◽  
Vol 13 (03) ◽  
pp. 291-300 ◽  
Author(s):  
Manabu Miyamoto
Keyword(s):  
Survival Probability ◽  
Form Factors ◽  
Time Behaviour ◽  
Zero Energy ◽  
Energy Resonance ◽  
N Level ◽  
Multilevel Systems ◽  
Long Time Behaviour ◽  
Long Time ◽  
Friedrichs Model

Long time behaviour of the survival probability for unstable multilevel systems is studied based on the N-level Friedrichs model in the presence of zero energy resonance, that means the divergence of the resolvent at zero energy. With resort to the technique developed by Jensen and Kato [Duke Math. J. 46, 583 (1979)], the zero energy resonance of this model is characterized by the zero energy eigenstate that does not belong to the Hilbert space. It is then shown that for some kinds of the form factors, logarithmically slower decay of the survival probability can be realized.

Comments on near-zero-energy resonance in atoms in external fields

1980 ◽  
Vol 21 (3) ◽  
pp. 1057-1060 ◽  
Author(s):  
A. R. P. Rau ◽  
K. T. Lu
Keyword(s):  
External Fields ◽  
Zero Energy ◽  
Energy Resonance

scholarly journals Observation of a Zero-Energy Resonance in Cs-Cs Collisions

1997 ◽  
Vol 79 (4) ◽  
pp. 625-628 ◽  
Author(s):  
M. Arndt ◽  
M. Ben Dahan ◽  
D. Guéry-Odelin ◽  
M. W. Reynolds ◽  
J. Dalibard
Keyword(s):  
Zero Energy ◽  
Energy Resonance

scholarly journals Atomic Zero Energy Resonance in Plasmas

2015 ◽  
Vol 635 (5) ◽  
pp. 052013 ◽  
Author(s):  
C F Clauser ◽  
R O Barrachina
Keyword(s):  
Zero Energy ◽  
Energy Resonance

Zero-Energy Resonance Effects in Break-up Collisions

2001 ◽  
pp. 46-55 ◽  
Author(s):  
J. Fiol ◽  
C. Courbin ◽  
V. D. Rodríguez ◽  
R. O. Barrachina
Keyword(s):  
Zero Energy ◽  
Energy Resonance ◽  
Resonance Effects ◽  
Break Up
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