Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Narciso Román-Roy"'
Publikováno v:
Nuclear Physics B, Vol 987, Iss , Pp 116069- (2023)
The (pre)multisymplectic geometry of the De Donder–Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric and magnetic Carrollian s
Externí odkaz:
https://doaj.org/article/0572d2ee77994b7c9bd03c8853b3f947
Autor:
Arnoldo Guerra, Narciso Román-Roy
Publikováno v:
Symmetry, Vol 15, Iss 2, p 390 (2023)
This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in th
Externí odkaz:
https://doaj.org/article/c739ba0b1cee401ab7bd490848f8a046
Autor:
Narciso Román-Roy
Publikováno v:
Mathematics, Vol 9, Iss 1, p 85 (2021)
This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed.
Externí odkaz:
https://doaj.org/article/60f85c518e63457c913f4d84618f7c8d
Autor:
Narciso Román-Roy
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 100 (2009)
This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian formalism are revisited and, se
Externí odkaz:
https://doaj.org/article/bb3fb72abb2544bab6d62518a6480f63
Autor:
Arnoldo Guerra IV, Narciso Román-Roy
Publikováno v:
Symmetry
Volume 15
Issue 2
Pages: 390
Volume 15
Issue 2
Pages: 390
This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e04804df8ec35f2f7e6ac36ad5520f94
http://arxiv.org/abs/2301.01255
http://arxiv.org/abs/2301.01255
Publikováno v:
Journal of Geometric Mechanics. 12:1-23
The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of \begin{document}$ k $\end{document} -cosymplectic geometry. Since these field theories are singular, we need to introduce the notion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c51862f2db0d0e9a087c07a254316970
https://doi.org/10.3934/jgm.2020002
https://doi.org/10.3934/jgm.2020002
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
In previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of $k$-contact Hamiltonian systems, which is based on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99e99158ad2fb0d5b9e306025b125214
https://hdl.handle.net/2117/365716
https://hdl.handle.net/2117/365716
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and using the forms that define this multicontact structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97651bd80a9abd7c4f07421a1545c8de
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional real Lie algebra of vector fields, a so-called Vessiot--Guldb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::906ff0d29ab8f077afb1ffb0904cc4ea
https://doi.org/10.1088/1751-8121/ac78ab
https://doi.org/10.1088/1751-8121/ac78ab
We are indebted to Prof. Dieter Van den Bleeken (Bo˘gazi¸ci University) for having drawn our attention to the error that gave rise to this note. We acknowledge the financial support from the Spanish Ministerio de Ciencia, Innovaci´on y Universidad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39fe9cc2db33bd8ad66c44ad734d1408
https://hdl.handle.net/2117/380598
https://hdl.handle.net/2117/380598