Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Khaled I. Nawafleh"'
Autor:
Khaled I. Nawafleh
Publikováno v:
Journal of Applied Mathematics, Vol 2011 (2011)
After reducing a system of higher-order regular Lagrangian into first-order singular Lagrangian using constrained auxiliary description, the Hamilton-Jacobi function is constructed. Besides, the quantization of the system is investigated using the ca
Externí odkaz:
https://doaj.org/article/12cbbcc3fb2a46259ce37a834924d61b
Publikováno v:
Oriental Journal of Physical Sciences. 5:09-15
In this work, we apply the geometric Hamilton-Jacobi theory to obtain solution of Hamiltonian systems in classical mechanics that are either compatible with two structures: the first structure plays a central role in the theory of time- dependent Ham
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4db4fecb020ecc7b878ede70f075a45
https://doi.org/10.13005/ojps05.01-02.04
https://doi.org/10.13005/ojps05.01-02.04
Autor:
Ola A. Jarab'ah, Khaled I. Nawafleh
Publikováno v:
Journal of Applied Mathematics and Physics. :1637-1641
In this paper nonconservative systems are investigated within the framework of Euler Lagrange equations. The solutions of these equations are used to find the principal function S, this function is used to formulate the wave function and then to quan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68dad73d307673d9f1541db8c5fc59a7
https://doi.org/10.4236/jamp.2018.68139
https://doi.org/10.4236/jamp.2018.68139
Autor:
Khaled I. Nawafleh
Publikováno v:
International Journal of Modern Physics B. 24:6345-6350
In this paper, the Hamilton–Jacobi method for solving differential equations of wave propagation is investigated. It is shown that when a wave propagates through a background medium that varies slowly on the scale of the wavelength, the trajectory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e457a0d5f02a82ec416800bd14c32669
https://doi.org/10.1142/s0217979210055263
https://doi.org/10.1142/s0217979210055263
Autor:
Ola A. Jarab'ah, Khaled I. Nawafleh
Publikováno v:
American Journal of Physics and Applications. 6:85
In this paper, the nonconservative systems with second order Lagrangian are investigated using fractional derivatives. The fractional Euler Lagrange equations for these systems are obtained. Then, fractional Hamiltonian for these systems is construct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5d174350d7150bae44c4b13973208b8
https://doi.org/10.11648/j.ajpa.20180604.12
https://doi.org/10.11648/j.ajpa.20180604.12
Publikováno v:
Journal of Mathematical Analysis and Applications. 327:891-897
Recently the traditional calculus of variations has been extended to be applicable for systems containing fractional derivatives. In this paper the passage from the Lagrangian containing fractional derivatives to the Hamiltonian is achieved. The Hami
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4530632209048615ea1eb5ee001e7cf4
https://doi.org/10.1016/j.jmaa.2006.04.076
https://doi.org/10.1016/j.jmaa.2006.04.076
Publikováno v:
International Journal of Modern Physics A. 19:347-354
One approach for solving mechanical problems of constrained systems using the Hamilton–Jacobi formulation is examined. The Hamilton–Jacobi function is obtained in the same manner as for regular systems. This is used to determine the solutions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ffd672762ed73b64be41a0dc4e133f1
https://doi.org/10.1142/s0217751x04017719
https://doi.org/10.1142/s0217751x04017719
Publikováno v:
Journal of Dynamical Systems and Geometric Theories. 2:1-6
The motion of a spinning point-particle in an external electromagnetic field is investigated as a constrained system. The comparison with the Dirac equation is discussed, and it is shown that the primary constraint can be derived explicitly from this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f58719fd436903ccd535bfed4731deef
https://doi.org/10.1080/1726037x.2004.10698473
https://doi.org/10.1080/1726037x.2004.10698473
Publikováno v:
Modern Physics Letters A. 18:1591-1596
A new approach for solving mechanical problems of Linear Lagrangian systems using the Hamilton–Jacobi formulation is proposed. The equations of motion are recovered from the action integral. It has been proved that there is no need to follow the co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ca626ee6aa0fdeb3f0f23d687cb2cbf
https://doi.org/10.1142/s0217732303011277
https://doi.org/10.1142/s0217732303011277
Publikováno v:
Physical Review A. 66
A general theory for solving the Hamilton-Jacobi partial differential equations for constrained Hamiltonian systems is proposed. The quantization of constrained systems is then applied using the WKB approximation. The constraints become conditions on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a620301f0e49e0f69e0aaeb09b8a683e
https://doi.org/10.1103/physreva.66.024101
https://doi.org/10.1103/physreva.66.024101