Results 11 to 20 of about 96,588 (331)

Differential calculus on the quantum Heisenberg group [PDF]

open access: yesJournal of Physics A: Mathematical and General, 1996
AMSTeX, Pages ...
Piotr Kosinski   +2 more
openaire   +5 more sources

The problem of differential calculus on quantum groups [PDF]

open access: yesCzechoslovak Journal of Physics, 1996
Contribution to the proceedings of the Colloquium on Quantum Groups and Integrable Systems Prague, June 1996. amslatex, 9 pages.
G.W. Delius   +5 more
openaire   +6 more sources

Differential calculus on quantum spheres [PDF]

open access: greenLetters in Mathematical Physics, 1989
Three-dimensional differential calculus on quantum spheres S infμc sup2 ,μ∈]−1, 1[∖{0}, c∈[0, ∞], is introduced and investigated. Spectra of generalized Laplacians are found. These operators are expressed by generalized directional derivatives.
P. Podleś
openalex   +3 more sources

A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS [PDF]

open access: greenInternational Journal of Modern Physics A, 1994
In this paper, using, the Weyl-Wigner-Moyal formalism for quantum mechanics, we develop a quantum-deformed exterior calculus on the phase space of an arbitrary Hamiltonian system. Introducing additional bosonic and fermionic coordinates, we construct a supermanifold which is closely related to the tangent and cotangent bundle over phase space.
E. Gozzi, Martin Reuter
openalex   +7 more sources

Covariant differential calculus on the quantum hyperplane [PDF]

open access: greenNuclear Physics B - Proceedings Supplements, 1991
Abstract We develop a differntial calculus on the quantum hyperplane covariant with respect to the action of the quantum group GLq(n). This is a concrete example of noncommutative differential geometry. We describe the general constraints for a noncommutative differential calculus and verify that the example given here satisfies all these constraints.
Julius Wess, Bruno Zumino
openalex   +4 more sources

The Falling Body Problem in Quantum Calculus

open access: yesFrontiers in Physics, 2020
The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first ...
Abdulaziz M. Alanazi   +3 more
doaj   +2 more sources

Separation of noncommutative differential calculus on quantum Minkowski space [PDF]

open access: greenJournal of Mathematical Physics, 2006
Noncommutative differential calculus on quantum Minkowski space is not separated with respect to the standard generators, in the sense that partial derivatives of functions of a single generator can depend on all other generators. It is shown that this problem can be overcome by a separation of variables.
Fabian Bachmaier, Christian Blohmann
openalex   +5 more sources

Applying quantum calculus for the existence of solution of $ q $-integro-differential equations with three criteria

open access: goldDiscrete and Continuous Dynamical Systems. Series A, 2020
Crisis intervention in natural disasters is significant to look at from many different slants. In the current study, we investigate the existence of solutions for \begin{document}$ q $\end{document}-integro-differential equation \begin{document}$ D_q^{\
Thabet Abdeljawad, Mohammad Esmael Samei
openalex   +2 more sources

Applications of (h,q)-Time Scale Calculus to the Solution of Partial Differential Equations

open access: yesComputer Sciences & Mathematics Forum, 2023
In this article, we developed the idea of q-time scale calculus in quantum geometry. It includes the q-time scale integral operators and ∆q-differentials. It analyzes the fundamental principles which follow the calculus of q-time scales compared with the
Hussain Ali   +2 more
doaj   +2 more sources

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