On the quantum foundations of some classical approximations for ion-atom collisions

A connection between quantum mechanics and classical methods used in ion-atom collisions is developed. The connection is based on the fluid dynamical interpretation of the one-electron quantum wavefunction. The classical trajectory Monte Carlo method and the Thomson approximation are obtained as qua...

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Autores principales: Reinhold, C.O., Falcon, C.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09534075_v21_n10_p1829_Reinhold
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spelling todo:paper_09534075_v21_n10_p1829_Reinhold2023-10-03T15:50:50Z On the quantum foundations of some classical approximations for ion-atom collisions Reinhold, C.O. Falcon, C.A. A connection between quantum mechanics and classical methods used in ion-atom collisions is developed. The connection is based on the fluid dynamical interpretation of the one-electron quantum wavefunction. The classical trajectory Monte Carlo method and the Thomson approximation are obtained as quantum models and the wavefunctions associated with these approximations are defined. A discussion is given of the procedure to be used to calculate scattering cross sections. Scaling laws derivable from the classical Liouville equation are deduced in the impact parameter formalism. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09534075_v21_n10_p1829_Reinhold
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A connection between quantum mechanics and classical methods used in ion-atom collisions is developed. The connection is based on the fluid dynamical interpretation of the one-electron quantum wavefunction. The classical trajectory Monte Carlo method and the Thomson approximation are obtained as quantum models and the wavefunctions associated with these approximations are defined. A discussion is given of the procedure to be used to calculate scattering cross sections. Scaling laws derivable from the classical Liouville equation are deduced in the impact parameter formalism.
format JOUR
author Reinhold, C.O.
Falcon, C.A.
spellingShingle Reinhold, C.O.
Falcon, C.A.
On the quantum foundations of some classical approximations for ion-atom collisions
author_facet Reinhold, C.O.
Falcon, C.A.
author_sort Reinhold, C.O.
title On the quantum foundations of some classical approximations for ion-atom collisions
title_short On the quantum foundations of some classical approximations for ion-atom collisions
title_full On the quantum foundations of some classical approximations for ion-atom collisions
title_fullStr On the quantum foundations of some classical approximations for ion-atom collisions
title_full_unstemmed On the quantum foundations of some classical approximations for ion-atom collisions
title_sort on the quantum foundations of some classical approximations for ion-atom collisions
url http://hdl.handle.net/20.500.12110/paper_09534075_v21_n10_p1829_Reinhold
work_keys_str_mv AT reinholdco onthequantumfoundationsofsomeclassicalapproximationsforionatomcollisions
AT falconca onthequantumfoundationsofsomeclassicalapproximationsforionatomcollisions
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