Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Zdzislaw E. Musielak"'
Autor:
Zdzislaw E. Musielak
Publikováno v:
Physics, Vol 3, Iss 4, Pp 903-912 (2021)
New null Lagrangians and gauge functions are derived and they are called nonstandard because their forms are different than those previously found. The invariance of the action is used to make the Lagrangians and gauge functions exact. The first exac
Externí odkaz:
https://doaj.org/article/14b2a246bce042fc86f3190a827c68ef
Autor:
Diana T. Pham, Zdzislaw E. Musielak
Publikováno v:
Mathematics, Vol 11, Iss 17, p 3653 (2023)
The Lagrangian formalism based on the standard Lagrangians, which are characterized by the presence of the kinetic and potential energy-like terms, is established for selected population dynamics models. A general method that allows for constructing
Externí odkaz:
https://doaj.org/article/99e522b4a754406c8e17da98217607c8
Autor:
Diana T. Pham, Zdzislaw E. Musielak
Publikováno v:
Mathematics, Vol 11, Iss 12, p 2671 (2023)
Non-standard Lagrangians do not display any discernible energy-like terms, yet they give the same equations of motion as standard Lagrangians, which have easily identifiable energy-like terms. A new method to derive non-standard Lagrangians for secon
Externí odkaz:
https://doaj.org/article/444bc6a56b0e4c8c8bcf4b2ee05efb36
Autor:
Lesley C. Vestal, Zdzislaw E. Musielak
Publikováno v:
Physics, Vol 3, Iss 2, Pp 449-458 (2021)
The Lagrange formalism is developed for Bateman oscillators, which includes both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians is presented. For the null Lagrangians, the corresponding gauge funct
Externí odkaz:
https://doaj.org/article/703453cf51aa40e3bd6babf790b91f27
Publikováno v:
Physics, Vol 2, Iss 3, Pp 425-435 (2020)
Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and allow for converting an undriven physical system into a
Externí odkaz:
https://doaj.org/article/7bf12d5314c8420491be5f61c09d5dad
Autor:
Diana T. Pham, Zdzislaw E. Musielak
Publikováno v:
Fractal and Fractional, Vol 7, Iss 1, p 28 (2022)
Fractals with different levels of self-similarity and magnification are defined as reduced fractals. It is shown that spectra of these reduced fractals can be constructed and used to describe levels of complexity of natural phenomena. Specific applic
Externí odkaz:
https://doaj.org/article/9576f3338a0845628db0936ecb5b30b3
Publikováno v:
Symmetry, Vol 13, Iss 9, p 1608 (2021)
The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincaré group, the Lagrangian formalism, and a novel method of projection operators that takes as its starting point the minimal assumption of four line
Externí odkaz:
https://doaj.org/article/aabcd596a47743538820dacdec50606c
Autor:
Bao D. Tran, Zdzislaw E. Musielak
Publikováno v:
Mathematics, Vol 9, Iss 11, p 1213 (2021)
A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike inter
Externí odkaz:
https://doaj.org/article/2b54cfaec1924727b19f1d6e00ae93b5
Publikováno v:
Mathematics, Vol 8, Iss 3, p 379 (2020)
Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians. This work shows that the procedure of deriving the standard
Externí odkaz:
https://doaj.org/article/4a814224c5be4a39a69bee2fb40ad8b5
Autor:
Zdzislaw E. Musielak, Lesley C. Vestal
Publikováno v:
Physics, Vol 3, Iss 30, Pp 449-458 (2021)
Physics
Volume 3
Issue 2
Pages 30-458
Physics
Volume 3
Issue 2
Pages 30-458
The Lagrange formalism is developed for Bateman oscillators, which include both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians is presented. For the null Lagrangians, corresponding gauge functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7f57d04ba4dd69f2e135fb719398486
https://doi.org/10.3390/physics3020030
https://doi.org/10.3390/physics3020030