Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Musielak, Zdzisław E."'
Autor:
Pham, Diana T., Musielak, Zdzislaw E.
The Lagrangian formalism has attracted the attention of mathematicians and physicists for more than 250 years and has played significant roles in establishing modern theoretical physics. The history of the Lagrangian formalism in biology is much shor
Externí odkaz:
http://arxiv.org/abs/2408.10834
Autor:
Pham, Diana T., Musielak, Zdzislaw E.
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:
http://arxiv.org/abs/2301.09419
Autor:
Das, Rupam, Musielak, Zdzislaw E.
Publikováno v:
Physica Scripta, Volume 97, Number 12, 2022
A method for constructing general null Lagrangians and their higher harmonics is presented for dynamical systems with one degree of freedom. It is shown that these Lagrangians can be used to obtain non-standard Lagrangians, which give equations of mo
Externí odkaz:
http://arxiv.org/abs/2203.04470
Autor:
Pham, Diana T., Musielak, Zdzislaw E.
Publikováno v:
Fractal Fract. 2023, 7, 28
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:
http://arxiv.org/abs/2111.01719
Publikováno v:
Symmetry 2021, 13(9), 1608
The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincar\'{e} group, the Lagrangian formalism, and a novel method of projection operators that takes as its starting point the minimal assumption of four l
Externí odkaz:
http://arxiv.org/abs/2109.11015
Autor:
Tran, Bao D., Musielak, Zdzislaw E.
Publikováno v:
Mathematics, 9, 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:
http://arxiv.org/abs/2106.00064
Publikováno v:
A&A 652, A88 (2021)
We present a new insight into the propagation of ion magnetoacoustic and neutral acoustic waves in a magnetic arcade in the lower solar atmosphere. By means of numerical simulations, we aim to: (a) study two-fluid waves propagating in a magnetic arca
Externí odkaz:
http://arxiv.org/abs/2105.09882
Publikováno v:
Physics Letters A, 384, 126838 (2020)
A method to construct general null Lagrangians and their exact gauge functions is developed. The functions are used to define classical forces independently from Newtonian dynamics. It is shown that the forces generated by the exact gauge functions a
Externí odkaz:
http://arxiv.org/abs/2009.03388
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The rise of oxygen in Earth's atmosphere that occurred 2.4 to 2.2 billion years ago is known as the Earth's Great Oxidation, and its impact on the development of life on Earth has been profound. Thereafter, the increase in Earth's oxygen level persis
Externí odkaz:
http://arxiv.org/abs/1402.3243