[图书][B] q-Fractional calculus and equations
MH Annaby, ZS Mansour - 2012 - books.google.com
This nine-chapter monograph introduces a rigorous investigation of q-difference operators in
standard and fractional settings. It starts with elementary calculus of q-differences and …
standard and fractional settings. It starts with elementary calculus of q-differences and …
Universal superpositions of coherent states and self-similar potentials
V Spiridonov - Physical Review A, 1995 - APS
A variety of coherent states of the harmonic oscillator is considered. It is formed by a
particular superposition of canonical coherent states. In the simplest case, these …
particular superposition of canonical coherent states. In the simplest case, these …
More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
C Quesne, VM Tkachuk - Journal of Physics A: mathematical and …, 2004 - iopscience.iop.org
We continue our previous application of supersymmetric quantum mechanical methods to
eigenvalue problems in the context of some deformed canonical commutation relations …
eigenvalue problems in the context of some deformed canonical commutation relations …
Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics
C Quesne, VM Tkachuk - SIGMA. Symmetry, Integrability and Geometry …, 2007 - emis.de
Two generalizations of Kempf's quadratic canonical commutation relation in one dimension
are considered. The first one is the most general quadratic commutation relation. The …
are considered. The first one is the most general quadratic commutation relation. The …
The Statistical Properties of the q‐Deformed Dirac Oscillator in One and Two Dimensions
A Boumali, H Hassanabadi - Advances in High Energy Physics, 2017 - Wiley Online Library
We study the behavior of the eigenvalues of the one and two dimensions of q‐deformed
Dirac oscillator. The eigensolutions have been obtained by using a method based on the q …
Dirac oscillator. The eigensolutions have been obtained by using a method based on the q …
Livšic's theorem for q -Sturm—Liouville operators
H Tuna, A Eryilmaz - Studia Scientiarum Mathematicarum …, 2016 - akjournals.com
In this paper, we study dissipative q-Sturm—Liouville operators in Weyl's limit circle case.
We describe all maximal dissipative, maximal accretive, self adjoint extensions of q-Sturm …
We describe all maximal dissipative, maximal accretive, self adjoint extensions of q-Sturm …
Fractional q-Difference Equations
MH Annaby, ZS Mansour, MH Annaby… - q-Fractional Calculus and …, 2012 - Springer
As in the classical theory of ordinary fractional differential equations, q-difference equations
of fractional order are divided into linear, nonlinear, homogeneous, and inhomogeneous …
of fractional order are divided into linear, nonlinear, homogeneous, and inhomogeneous …
Study of Schrödinger equation in terms of Heun functions in the commutative vs. non-commutative spaces
S Sargolzaeipor, H Hassanabadi… - Modern Physics Letters …, 2019 - World Scientific
In this paper, we solved the Schrödinger equation in the commutative and non-commutative
(NC) spaces under the presence of magnetic field. In other words, we obtained the energy …
(NC) spaces under the presence of magnetic field. In other words, we obtained the energy …
Riemann–Liouville q-Fractional Calculi
MH Annaby, ZS Mansour, MH Annaby… - Q-fractional Calculus and …, 2012 - Springer
In this chapter we investigate q-analogues of the classical fractional calculi. We study the q-
Riemann–Liouville fractional integral operator introduced by Al-Salam (Proc. Am. Math. Soc …
Riemann–Liouville fractional integral operator introduced by Al-Salam (Proc. Am. Math. Soc …
Spectral analysis of q-oscillator with general bilinear interaction
Spectra of the most general Hermitian Hamiltonian which is bilinear in the creation and
annihilation operators of a q-harmonic oscillator are investigated with the help of the …
annihilation operators of a q-harmonic oscillator are investigated with the help of the …