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
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Sharp Estimates Involving a Generalized Symmetric Sălăgean q-Differential Operator for Harmonic Functions via Quantum Calculus [PDF]
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 +5 more
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Quantum Affine Transformation Group and Covariant Differential Calculus [PDF]
Progress of Theoretical Physics, 1994 LaTeX 22 pages OS-GE-34-94 RCNP ...
Aizawa, N., Sato, H. -T.
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A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS [PDF]
International 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.
GOZZI, ENNIO, REUTER M.
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Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives [PDF]
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
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GLq(N)-covariant quantum algebras and covariant differential calculus [PDF]
Physics Letters A, 1993 We consider GLq(N)-covariant quantum algebras with generators satisfying quadratic polynomial relations. We show that, up to some inessential arbitrariness, there are only two kinds of such quantum algebras, namely, the algebras with q-deformed commutation and q-deformed anticommutation relations.
Isaev, A. P., Pyatov, P. N.
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BRST Operator for Quantum Lie Algebras and Differential Calculus on Quantum Groups [PDF]
Theoretical and Mathematical Physics, 2001 20 pages, LaTeX, Lecture given at the Workshop on "Classical and Quantum Integrable Systems", 8 - 11 January, Protvino, Russia; corrected some ...
Isaev, A. P., Ogievetsky, O. V.
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COMMENT ON THE DIFFERENTIAL CALCULUS ON THE QUANTUM EXTERIOR PLANE [PDF]
Modern Physics Letters A, 1998 We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate it to the differential calculus with the R-matrix. We prove that there are two types of solutions of the Yang–Baxter equation whose symmetry group is GL p,q(2).
ÇELİK, Sultan +2 more
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Existence of solutions for a system of singular sum fractional q-differential equations via quantum calculus [PDF]
Advances in Differential Equations, 2020 In this study, we discuss the existence of positive solutions for the system of m-singular sum fractional q-differential equations Dqαixi+gi(t,x1,…,xm,Dqγ1x1,…,Dqγmxm)+hi(t,x1,…,xm,Dqγ1x1,…,Dqγmxm)=0\documentclass[12pt]{minimal} \usepackage{amsmath ...
M. Samei
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Differential calculus on the quantum Heisenberg group [PDF]
Journal of Physics A: Mathematical and General, 1996 AMSTeX, Pages ...
Kosiński, Piotr +2 more
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