About: Resonances in models of spin-dependent point interactions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 $$ (epsilon). In dimension three we analyzed details of the time behavior of the projection onto the region of the spectrum close to the resonance. In dimension d = 1,2,3 we define a family of two-channel Hamiltonians obtained as point perturbations of the generator of the free decoupled dynamics. Within the family we choose two Hamiltonisns . (H) over cap $$ (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. (en)
Title	Resonances in models of spin-dependent point interactions Resonances in models of spin-dependent point interactions (en)
skos:prefLabel	Resonances in models of spin-dependent point interactions Resonances in models of spin-dependent point interactions (en)
skos:notation	RIV/68407700:21340/09:00210370!RIV14-MSM-21340___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Cacciapuoti, Claudio
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	339146
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/09:00210370
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	ZERO-RANGE POTENTIALS; QUANTUM ZENO; BOUNDARY-CONDITIONS; EXPONENTIAL DECAY; SOLVABLE MODEL; PERTURBATION; SCATTERING; STATES; FIELD (en)
http://linked.open.../riv/klicoveSlovo	PERTURBATION SCATTERING FIELD STATES BOUNDARY-CONDITIONS EXPONENTIAL DECAY QUANTUM ZENO SOLVABLE MODEL ZERO-RANGE POTENTIALS
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[ED582D5686EC]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A: Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	42
http://linked.open...iv/tvurceVysledku	Carlone, R. Cacciapuoti, Claudio Figari, R.
http://linked.open...ain/vavai/riv/wos	000261520600006
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	1751-8113
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1751-8113/42/3/035202
http://localhost/t...ganizacniJednotka	21340

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