Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Eqab M. Rabei"'
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:2910-2920
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f2bb873a6cfaa178b92848e869ea59a
https://doi.org/10.1002/mma.7963
https://doi.org/10.1002/mma.7963
Publikováno v:
Open Physics, Vol 19, Iss 1, Pp 395-401 (2021)
In this article, the Hamiltonian for the conformable harmonic oscillator used in the previous study [Chung WS, Zare S, Hassanabadi H, Maghsoodi E. The effect of fractional calculus on the formation of quantum-mechanical operators. Math Method Appl Sc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f983a2e50fd4c1ae1c25bf7bba1901f2
https://doi.org/10.1515/phys-2021-0035
https://doi.org/10.1515/phys-2021-0035
In this paper, the Wentzel–Kramers–Brillouin (WKB) method is extended to be applicable for conformable Hamiltonian systems, where the concept of conformable operator with fractional order [Formula: see text] is involved. The WKB approximation for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9a65c6d98943473507c5daa04b036f8
http://arxiv.org/abs/2111.01547
http://arxiv.org/abs/2111.01547
Publikováno v:
Modern Physics Letters A. 36
In this paper, the perturbation theory is extended to be applicable for systems containing conformable derivative of fractional order [Formula: see text]. This is needed as an essential and powerful approximation method for describing systems with co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::319a4182f70a81cedb6359ba8e091274
https://doi.org/10.1142/s021773232150228x
https://doi.org/10.1142/s021773232150228x
Autor:
Ahmed Al-Jamel, Eqab M. Rabei
Publikováno v:
Pramana. 94
In this work, the quantisation of particle propagating in a dissipative harmonic medium will be investigated using the creation and annihilation operator formalism, which is more appropriate in some fields of physics. Modelling the problem as damped
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cca2074a8d11f2570b89ecfd12f04d41
https://doi.org/10.1007/s12043-019-1882-4
https://doi.org/10.1007/s12043-019-1882-4
Publikováno v:
Pramana. 93
The (extended) Nikiforov–Uvarov method is employed to find exact solutions of the Schrodinger operator for three $$\mathcal {PT}$$-invariant potentials (periodic exponential, cotangent and $$\mathcal {PT}$$-symmetric harmonic plus centrifugal). It
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9fea5c8aed44328a89510e1796daae6
https://doi.org/10.1007/s12043-019-1860-x
https://doi.org/10.1007/s12043-019-1860-x
Publikováno v:
Journal of Mathematical Physics. 60:094102
This is a response to a recently reported comment [F. M. Fernandez, J. Math. Phys. 60, 094101 (2019)] on paper [M. Serhan et al., J. Math. Phys. 59, 082105 (2018)] regarding the quantization of the damped harmonic oscillator using a non-Hermitian Ham
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71379adb95c5577c4ec3fe2c909ac49e
https://doi.org/10.1063/1.5125816
https://doi.org/10.1063/1.5125816
Autor:
Mohammed Al Horani, Eqab M. Rabei
Publikováno v:
International Journal of Modern Physics A. 33:1850222
In this paper, the fractional singular Lagrangian system is studied. The Hamilton–Jacobi treatment is developed to be applicable for fractional singular Lagrangian system. The equations of motion are obtained for the fractional singular systems and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a2ff4742c9a0cdbf1a3862b2ef9722c
https://doi.org/10.1142/s0217751x18502226
https://doi.org/10.1142/s0217751x18502226
Publikováno v:
Fractals. 19:243-247
In this paper, we used the scaling concepts of Mandelbrot of fractals in variational problems of mechanical systems in order to re-write the action integral function as an integration over the fractional time. In addition, by applying the variational
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::776cddb4fea6303766e01b862173325c
https://doi.org/10.1142/s0218348x11005294
https://doi.org/10.1142/s0218348x11005294
Publikováno v:
International Journal of Theoretical Physics. 50:1569-1576
The paper presents fractional Hamilton–Jacobi formulations for systems containing Riesz fractional derivatives (RFD’s). The Hamilton–Jacobi equations of motion are obtained. An illustrative example for simple harmonic oscillator (SHO) has been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::628a2636397a83667103773a696aca5d
https://doi.org/10.1007/s10773-011-0668-3
https://doi.org/10.1007/s10773-011-0668-3