Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function

The procedure of reducing canonical field degrees of freedom for a system of charged particles plus field in the constrained Hamiltonian formalism is elaborated up to the first order in the coupling constant expansion. The canonical realization of the Poincare algebra in the terms of particle variab...

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Дата:	2001
Автори:	Duviryak, A., Nazarenko, A., Tretyak, V.
Формат:	Стаття
Мова:	English
Опубліковано:	Інститут фізики конденсованих систем НАН України 2001
Назва видання:	Condensed Matter Physics
Онлайн доступ:	http://dspace.nbuv.gov.ua/handle/123456789/119756
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Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function / A. Duviryak, A. Nazarenko, V. Tretyak // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 5-14. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

id	irk-123456789-119756
record_format	dspace
spelling	irk-123456789-1197562017-06-09T03:04:01Z Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function Duviryak, A. Nazarenko, A. Tretyak, V. The procedure of reducing canonical field degrees of freedom for a system of charged particles plus field in the constrained Hamiltonian formalism is elaborated up to the first order in the coupling constant expansion. The canonical realization of the Poincare algebra in the terms of particle variables is found. The relation between covariant and physical particle variables in the Hamiltonian description is written. The system of particles interacting by means of scalar and vector massive fields is also considered. The first order approximation in c⁻² is examined. An application to calculating the relativistic partition function of an interacting particle system is discussed. Розроблено процедуру редукції канонічних польових ступенів вільности для системи заряджених частинок з електромагнетним полем у гамільтоновому формалізмі з в’язями у першому порядку за константою взаємодії. Знайдено канонічну реалізацію алгебри Пуанкаре у термінах змінних частинок. Записано співвідношення між коваріянтними та фізичними змінними частинок. Також розглянуто систему частинок, які взаємодіють через скалярне та векторне масивні поля. Досліджено перше наближення за c⁻². Обговорюється застосування до обчислення статистичної суми системи взаємодіючих частинок. 2001 Article Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function / A. Duviryak, A. Nazarenko, V. Tretyak // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 5-14. — Бібліогр.: 10 назв. — англ. DOI:10.5488/CMP.4.1.5 PACS: 03.30.+p, 05.20.-y http://dspace.nbuv.gov.ua/handle/123456789/119756 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution	Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection	DSpace DC
language	English
description	The procedure of reducing canonical field degrees of freedom for a system of charged particles plus field in the constrained Hamiltonian formalism is elaborated up to the first order in the coupling constant expansion. The canonical realization of the Poincare algebra in the terms of particle variables is found. The relation between covariant and physical particle variables in the Hamiltonian description is written. The system of particles interacting by means of scalar and vector massive fields is also considered. The first order approximation in c⁻² is examined. An application to calculating the relativistic partition function of an interacting particle system is discussed.
format	Article
author	Duviryak, A. Nazarenko, A. Tretyak, V.
spellingShingle	Duviryak, A. Nazarenko, A. Tretyak, V. Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function Condensed Matter Physics
author_facet	Duviryak, A. Nazarenko, A. Tretyak, V.
author_sort	Duviryak, A.
title	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function
title_short	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function
title_full	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function
title_fullStr	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function
title_full_unstemmed	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function
title_sort	classical relativistic system of n charges. hamiltonian description, forms of dynamics, and partition function
publisher	Інститут фізики конденсованих систем НАН України
publishDate	2001
url	http://dspace.nbuv.gov.ua/handle/123456789/119756
citation_txt	Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function / A. Duviryak, A. Nazarenko, V. Tretyak // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 5-14. — Бібліогр.: 10 назв. — англ.
series	Condensed Matter Physics
work_keys_str_mv	AT duviryaka classicalrelativisticsystemofnchargeshamiltoniandescriptionformsofdynamicsandpartitionfunction AT nazarenkoa classicalrelativisticsystemofnchargeshamiltoniandescriptionformsofdynamicsandpartitionfunction AT tretyakv classicalrelativisticsystemofnchargeshamiltoniandescriptionformsofdynamicsandpartitionfunction
first_indexed	2023-10-18T20:34:57Z
last_indexed	2023-10-18T20:34:57Z
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Classical relativistic system of N charges. Hamiltonian description, forms of dynamics, and partition function

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