Results 271 to 280 of about 49,385 (321)

Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

, 2021
We introduce a Hopf algebra structure on the N = 2 quantum supersymmetry algebra and formulate a first order quantum differential calculus on it. Then, it is enhanced to three *-calculi by defining three appropriate involution maps on the quantum super ...
H. Fakhri, S. Laheghi
semanticscholar   +1 more source

Differential Calculus on Quantum Homogeneous Spaces

Letters in Mathematical Physics, 2003
The quantum tangent space of a covariant first-order differential calculus (FODC) over a quantum homogeneous space is established, and the generators of FODC over the Podleś' quantum sphere \(C_q [\mathbb{S}_c^2]\) are determined as an application. An FODC over \({\mathcal B}\), an algebra over \(\mathbb{C}\) is a \({\mathcal B}\)-bimodule \(\Gamma ...
Heckenberger, István, Kolb, Stefan
openaire   +2 more sources

Differential Calculus on Quantum Lorentz Group

Communications in Theoretical Physics, 1997
In this paper, we discuss the bicovariant differential calculus on quantum Lorentz group, and provide corresponding de Rham complex and Maurer-Cartan formulae.
Wang Shikun, Wu Ke
openaire   +1 more source

Existence of solutions for k ‐dimensional system of multi‐term fractional q ‐integro‐differential equations under anti‐periodic boundary conditions via quantum calculus

Mathematical methods in the applied sciences, 2020
We prove the existence and uniqueness of solutions for a k ‐dimensional system of multi‐term fractional q ‐integro‐differential equations via anti‐periodic boundary conditions by using some well‐known tools of fixed point technique such as Arzelà–Ascoli ...
M. Samei, Wengui Yang
semanticscholar   +1 more source

DIFFERENTIAL CALCULUS ON INHOMOGENEOUS QUANTUM GROUPS

International Journal of Modern Physics B, 2000
We investigate the question of covariant differential calculi on the bosonisation of a coquasitriangular Hopf algebra and an associated braided Hopf algebra. As a result we present a general way of obtaining such calculi on inhomogeneous quantum groups.
openaire   +2 more sources

Differential calculus on quantum Euclidean spheres

Czechoslovak Journal of Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Solutions of sum‐type singular fractional q integro‐differential equation with m‐point boundary value problem using quantum calculus

Mathematical methods in the applied sciences, 2020
Nowadays, many researchers have considerable attention to fractional calculus as a useful tool for modeling of different phenomena in the world. In this work, we investigate the sum‐type singular nonlinear fractional q integro‐differential equations with
A. Ahmadian, S. Rezapour, S. Salahshour, M. Samei   +3 more
semanticscholar   +1 more source

Differential calculus on the quantum superplane

Journal of Physics A: Mathematical and General, 1991
Quantum groups provide a concrete example of non-commutative differential geometry. A consistent differential calculus on the non-commutative space of the quantum hyperplane was formulated by Wess and Zumino (1990). In the present paper, it is extended to superspace. Several consistency checks are discussed.
openaire   +1 more source

Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
W. Khan, K. Mohamed, F. Costabile, C. Kızılateş, C. Ryoo   +4 more
semanticscholar   +1 more source

Differential calculus on quantum projective spaces

Czechoslovak Journal of Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources