Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary

The theories that combine two different approaches in dealing with interacting objects, for instance, treating electromagnetic laser field classically, and the interacting atom as a quantum object, have some ambiguities and, as such, they should be labeled as “mixed”. From the Noether�...

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Main Authors: Ristić Vladimir M., Radulović Mirko M., Miladinović Tatjana B., Stevanović Jasna M.
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2014-01-01
Series:Nuclear Technology and Radiation Protection
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1451-3994/2014/1451-39941401024R.pdf
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author Ristić Vladimir M.
Radulović Mirko M.
Miladinović Tatjana B.
Stevanović Jasna M.
author_facet Ristić Vladimir M.
Radulović Mirko M.
Miladinović Tatjana B.
Stevanović Jasna M.
author_sort Ristić Vladimir M.
collection DOAJ
description The theories that combine two different approaches in dealing with interacting objects, for instance, treating electromagnetic laser field classically, and the interacting atom as a quantum object, have some ambiguities and, as such, they should be labeled as “mixed”. From the Noether's Theorem Corollary, which we proved earlier, about the conservation laws of energy, momentum and angular momentum in mixed theories, follows that the aforementioned theories do not support the law of angular momentum/spin conservation (to be precise, the obtained result does not imply that the law of conservation of angular momentum and spin is not valid generally, but rather that mixed theories can produce the results which might violate this law). In present paper, an additional explanation following our Corollary is given to why the calculation of the stopping power in the fully quantized theory gives better results than those that were obtained in mixed theories, which further confirms the predictions of our Corollary. [Projekat Ministarstva nauke Republike Srbije, br. 171021: The experimental and theoretical research in radiation physics and radioecology]
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spelling doaj.art-d4477b0c1a1e4fcb8ca2c7a49a0af5e52022-12-21T17:33:18ZengVINCA Institute of Nuclear SciencesNuclear Technology and Radiation Protection1451-39942014-01-01291242710.2298/NTRP1401024R1451-39941401024RGetting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollaryRistić Vladimir M.0Radulović Mirko M.1Miladinović Tatjana B.2Stevanović Jasna M.3Faculty of Science, KragujevacFaculty of Science, KragujevacFaculty of Science, KragujevacFaculty of Science, KragujevacThe theories that combine two different approaches in dealing with interacting objects, for instance, treating electromagnetic laser field classically, and the interacting atom as a quantum object, have some ambiguities and, as such, they should be labeled as “mixed”. From the Noether's Theorem Corollary, which we proved earlier, about the conservation laws of energy, momentum and angular momentum in mixed theories, follows that the aforementioned theories do not support the law of angular momentum/spin conservation (to be precise, the obtained result does not imply that the law of conservation of angular momentum and spin is not valid generally, but rather that mixed theories can produce the results which might violate this law). In present paper, an additional explanation following our Corollary is given to why the calculation of the stopping power in the fully quantized theory gives better results than those that were obtained in mixed theories, which further confirms the predictions of our Corollary. [Projekat Ministarstva nauke Republike Srbije, br. 171021: The experimental and theoretical research in radiation physics and radioecology]http://www.doiserbia.nb.rs/img/doi/1451-3994/2014/1451-39941401024R.pdfstopping powerquantum harmonic oscillatorNoether's theoremmixed theoryconservation law
spellingShingle Ristić Vladimir M.
Radulović Mirko M.
Miladinović Tatjana B.
Stevanović Jasna M.
Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary
Nuclear Technology and Radiation Protection
stopping power
quantum harmonic oscillator
Noether's theorem
mixed theory
conservation law
title Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary
title_full Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary
title_fullStr Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary
title_full_unstemmed Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary
title_short Getting deeper insight into stopping power problems in radiation physics using the Noether's theorem corollary
title_sort getting deeper insight into stopping power problems in radiation physics using the noether s theorem corollary
topic stopping power
quantum harmonic oscillator
Noether's theorem
mixed theory
conservation law
url http://www.doiserbia.nb.rs/img/doi/1451-3994/2014/1451-39941401024R.pdf
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