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Resonances in models of spin-dependent point interactions

SYSNO ASEP	0338367
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Resonances in models of spin-dependent point interactions
Title	Rezonance v modelech spinově závislých bodových interakcí
Author(s)	Cacciapuoti, C. (IT) Carlone, Raffaele (UJF-V) Figari, R. (IT)
Source Title	Journal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113 Roč. 42, č. 3 (2009), 035202/1-035202/19
Number of pages	19 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	ZERO-RANGE POTENTIALS ; QUANTUM ZENO ; BOUNDARY-CONDITIONS
Subject RIV	BG - Nuclear, Atomic and Molecular Physics, Colliders
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000261520600006
DOI	10.1088/1751-8113/42/3/035202
Annotation	In dimension d = 1,2,3 we define a family of two-channel Hamiltonians obtained as point perturbations of the generator of the free decoupled dynamics. Within the family we choose two Hamiltonisns . (H) over cap $$ (0) and (H) over cap $$ (epsilon), giving arise respectively to the unperturbed and to the perturbed evolution. The Hamiltonian (H) over cap $$ (0) does not couple the channels and has an eigevalue embedded in the continuous spectrum. The Hamiltonian (H) over cap $$ (epsilon) is a small perturbation, in resolvent sense, of (H) over cap $$ (0) and exhibits a small coupling between the channels. We take advantage of the complete solvability of our model to prove with simple arguments that the embedded eigenvalue of (H) over cap $$ (0) shifts into a resonance for (H) over cap $$ (epsilon). In dimension three we analyzed details of the time behavior of the projection onto the region of the spectrum close to the resonance.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2010

Number of the records: 1