SOME NEW PROPERTIES CONCERNING THE q-DEFORMED CALCULUS AND THE q-DEFORMATION OF THE DIFFUSION EQUATION

DOI10.1142/S0217732313501009zbMath1272.81095MaRDI QIDQ2849238

Won-Sang Chung, Min Jung

Publication date: 17 September 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

\(q\)-chain rule\(q\)-deformed diffusion equation\(q\)-deformed Fokker-Planck equation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Fokker-Planck equations (35Q84)

Related Items (2)

Thermostatistics of bosonic and fermionic Fibonacci oscillators ⋮ On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas

Cites Work

• Hölderian variational problems subject to integral constraints
• Constants of motion for non-differentiable quantum variational problems
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Variational \(q\)-calculus.
• Variational calculus on \(q\)-nonuniform lattices
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Hilbert spaces of analytic functions and generalized coherent states

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