Results 11 to 20 of about 54,241 (298)

Differential calculus on compact matrix pseudogroups (quantum groups) [PDF]

Communications in Mathematical Physics, 1989
This is a sequel to an earlier paper by the author [ibid. 111, No. 4, 613-665 (1987; Zbl 0627.58034)]. There, he introduced and developed the finite-dimensional representation theory of a particular generalization of the concept of a compact Lie group, which has the desirable property of admitting nontrivial deformations.
S. Woronowicz
semanticscholar   +3 more sources

A Curious Differential Calculus on the Quantum Disc and Cones [PDF]

, 2016
A non-classical differential calculus on the quantum disc and cones is constructed and the associated integral is calculated.
Tomasz Brzezi'nski, Ludwik Dkabrowski
semanticscholar   +3 more sources

Covariantization of quantized calculi over quantum groups [PDF]

Mathematica Bohemica, 2020
We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
doaj   +1 more source

Jackson Differential Operator Associated with Generalized Mittag–Leffler Function

Fractal and Fractional, 2023
Quantum calculus plays a significant role in many different branches such as quantum physics, hypergeometric series theory, and other physical phenomena.
Adel A. Attiya, Mansour F. Yassen, Abdelhamid Albaid   +2 more
doaj   +1 more source

General Non-Markovian Quantum Dynamics

Entropy, 2021
A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Vasily E. Tarasov
doaj   +1 more source

Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation [PDF]

Quantum, 2022
We propose a simple quantum algorithm for simulating highly oscillatory quantum dynamics, which does not require complicated quantum control logic for handling time-ordering operators.
Dong An, Di Fang, Lin Lin
doaj   +1 more source

Sharp Estimates Involving a Generalized Symmetric Sălăgean q-Differential Operator for Harmonic Functions via Quantum Calculus

Symmetry, 2023
In this study, we apply q-symmetric calculus operator theory and investigate a generalized symmetric Sălăgean q-differential operator for harmonic functions in an open unit disk.
Isra Al-shbeil, Shahid Khan, Fairouz Tchier, F. Tawfiq, A. Shatarah, Adriana Cătaș   +5 more
semanticscholar   +1 more source

Generalized Quantum Integro-Differential Fractional Operator with Application of 2D-Shallow Water Equation in a Complex Domain

Axioms, 2021
In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus).
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives

Demonstratio Mathematica, 2023
In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
J. Alzabut, M. Houas, M. Abbas
semanticscholar   +1 more source

New Applications of the Sălăgean Quantum Differential Operator for New Subclasses of q-Starlike and q-Convex Functions Associated with the Cardioid Domain

Symmetry, 2023
In this paper, we define a new family of q-starlike and q-convex functions related to the cardioid domain utilizing the ideas of subordination and the Sălăgean quantum differential operator. The primary contribution of this article is the derivation of a
Suha B. Al-Shaikh
semanticscholar   +1 more source