Figari, Rodolfo and Teta, Alessandro (2005) A one-dimensional model for ionization induced by scattering with a heavy particle. [Pubblicazione in rivista scientifica]


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Item Type: Pubblicazione in rivista scientifica
Title: A one-dimensional model for ionization induced by scattering with a heavy particle
Figari, RodolfoUNSPECIFIED
Teta, AlessandroUNSPECIFIED
Date: 2005
Date type: Submission
Identification Number: 10.1088/0305-4470/38/22/017
Original publication URL:
Journal or Publication Title: Journal of Physics A
Date: 2005
Volume: 38
Page Range: pp. 4947-4955
Keywords: Interazioni puntuali, Decoerenza
References: [ABD] Albeverio S, Brzezniak Z and Dabrowski L 1995 Fundamental solution of the heat and Schrödinger equations with point interaction J. Funct. Anal. 130 220-54 CrossRef Link | Link to SwetsWise | Order from Infotrieve [AGH-KH] Albeverio S, Gesztesy F, Hoegh-Krohn R and Holden H 1988 Solvable Models in Quantum Mechanics (New York: Springer) [BH] Bleistein N and Handelsman R A 1975 Asymptotic Expansions of Integrals (New York: Dover) [DFT] Dell'Antonio G F, Figari R and Teta A 2000 Schrödinger equation with moving point interactions in three dimensions Stochastic Processes, Physics and Geometry: New Interplays, I (Leipzig, 1999) (CSM Conf. Proc. vol 28) ed F Gesztesy, H Holden, J Jost, S Paycha, M Röckner and S Scarlatti (Providence, RI: American Mathematical Society) pp 99-113 [GS] Gaveau B and Schulman L S 1993 Reactive scattering with exact propagators Phys. Lett. A 182 207-13 CrossRef Link | Inspec Abstract | ChemPort Abstract | Order from Infotrieve [jpa188822bibM] Mott N F 1929 The wave mechanics of α-ray tracks Proc. R. Soc. A 126 79-84 Order from Infotrieve [jpa188822bibS] Schulman L S 1986 Application of the propagator for the delta function potential Path Integrals from mev to Mev ed M C Gutzwiller, A Ioumata, J K Klauder and L Streit (Singapore: World Scientific) pp 302-11 [jpa188822bibSi] Simon B 1971 Quantum Mechanics for Hamiltonians Defined as Quadratic Forms (Princeton, NJ: Princeton University Press)
Identification Number: 10.1088/0305-4470/38/22/017
Settori scientifico-disciplinari del MIUR: Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Date Deposited: 09 Nov 2005
Last Modified: 30 Apr 2014 19:22

Collection description

The ionization probability for a one-dimensional model atom perturbed by a moving repulsive scatterer is considered. The moving scattering centre is meant to mimic a second quantum particle crossing the region where a much lighter particle is initially bound in the atom. We compute the first three terms (of order t3/2, t2, t5/2 respectively) in the expansion for small times of the ionization probability and we deduce that the first term showing explicit dependence on the velocity of the scatterer is of order t5/2. A possible application of the model for the description of a quantum particle in a cloud chamber is also outlined.


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