Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Papachristou, C. J."'
Autor:
Papachristou, C. J.
Publikováno v:
META Publishing, No.70 (2020) ; https://metapublishing.org/index.php/MP/catalog/book/70
In electrodynamics courses and textbooks the properties of plane electromagnetic waves in both conducting and non-conducting media are typically studied from the point of view of the prototype case of a monochromatic plane wave. In this article the m
Externí odkaz:
http://arxiv.org/abs/2003.06510
Autor:
Papachristou, C. J., Magoulas, A. N.
Publikováno v:
Nausivios Chora, Vol. 8 (2022) C-3 (https://nausivios.hna.gr/docs/NCH_v8_2022_C1.pdf)
It is now widely accepted that the Maxwell equations of Electrodynamics constitute a self-consistent set of four independent partial differential equations. According to a certain school of thought, however, half of these equations - namely, those ex
Externí odkaz:
http://arxiv.org/abs/1901.08058
Autor:
Papachristou, C. J.
Publikováno v:
Nausivios Chora Vol. 7 (2018) pp. C31-C48 ; https://nausivios.hna.gr/docs/2018C3.pdf
The study of symmetries of partial differential equations (PDEs) has been traditionally treated as a geometrical problem. Although geometrical methods have been proven effective with regard to finding infinitesimal symmetry transformations, they pres
Externí odkaz:
http://arxiv.org/abs/1804.06303
Autor:
Papachristou, C. J.
Publikováno v:
Advanced Electromagnetics, Vol 7, No 2 (2018), pp. 10-12 (https://www.aemjournal.org/index.php/AEM/article/view/694); new results: Nausivios Chora, Vol. 8 (2022) C-47 (https://nausivios.hna.gr/docs/NCH_v8_2022_C3.pdf)
The charging capacitor is used as a standard paradigm for illustrating the concept of the Maxwell "displacement current". A certain aspect of the problem, however, is often overlooked. It concerns the conditions for satisfaction of the Faraday-Henry
Externí odkaz:
http://arxiv.org/abs/1802.01652
Autor:
Papachristou, C. J.
Publikováno v:
Springer (2020), ISBN 978-3-030-30995-4 (https://www.springer.com/gp/book/9783030309954)
The purpose of this sophomore-level textbook is twofold: to introduce the student to classical electrodynamics and, at the same time, explain in simple terms the quantum theory of conducting substances (in particular, the solid ones). The presentatio
Externí odkaz:
http://arxiv.org/abs/1711.09969
Autor:
Papachristou, C. J., Magoulas, A. N.
Publikováno v:
Nausivios Chora Vol. 6 (2016) pp. C3-C17 ; https://nausivios.hna.gr/docs/2016C.pdf
B\"acklund transformations (BTs) are traditionally regarded as a tool for integrating nonlinear partial differential equations (PDEs). Their use has been recently extended, however, to problems such as the construction of recursion operators for symm
Externí odkaz:
http://arxiv.org/abs/1607.06079
Autor:
Papachristou, C. J.
Publikováno v:
SpringerBriefs in Physics (2019), ISBN 978-3-030-35001-7 (https://www.springer.com/gp/book/9783030350017)
This monograph, written for educational purposes, serves as an introduction to the concept of integrability as it applies to systems of differential equations (both ordinary and partial) as well as to vector-valued fields. The general cases of integr
Externí odkaz:
http://arxiv.org/abs/1511.01788
Autor:
Papachristou, C. J.
Publikováno v:
Advanced Electromagnetics, Vol 4, No 1 (2015), pages 52-58 ; https://aemjournal.org/index.php/AEM/article/view/311
Backlund transformations (BTs) are a useful tool for integrating nonlinear partial differential equations (PDEs). However, the significance of BTs in linear problems should not be ignored. In fact, an important linear system of PDEs in Physics, namel
Externí odkaz:
http://arxiv.org/abs/1505.07094
Autor:
Papachristou, C. J., Magoulas, A. N.
Publikováno v:
Advanced Electromagnetics, Vol 4, No 1 (2015), pages 10-15 ; https://aemjournal.org/index.php/AEM/article/view/257
In the literature of Electromagnetism, the electromotive force of a "circuit" is often defined as work done on a unit charge during a complete tour of the latter around the circuit. We explain why this statement cannot be generally regarded as true,
Externí odkaz:
http://arxiv.org/abs/1405.7474
Autor:
Papachristou, C. J.
Written in non-technical language, this review article explains the significance of the Higgs field and the associated Higgs boson in High-Energy Physics. The connection of symmetry with particle interactions and their unification is also discussed i
Externí odkaz:
http://arxiv.org/abs/1401.1327