On a conjecture about Dirac’s delta representation using q-exponentials

DOI10.1063/1.3478886zbMath1309.46021arXiv1006.4054OpenAlexW2009674109WikidataQ123366969 ScholiaQ123366969MaRDI QIDQ5245806

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Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4054

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Statistical thermodynamics (82B30)

Related Items (9)

Reflections on the \(q\)-Fourier transform and the \(q\)-Gaussian function ⋮ \(q\)-generalized representation of the \(d\)-dimensional Dirac delta and \(q\)-Fourier transform ⋮ \(Q\)-Fourier transform and its inversion-problem ⋮ \(q\)-generalization of the inverse Fourier transform ⋮ Nonlinear Schroedinger equation in the presence of uniform acceleration ⋮ Nonlinear quantum equations: Classical field theory ⋮ A direct proof of Jauregui-Tsallis’ conjecture ⋮ Integral representation of Dirac distribution using the Tsallis q-exponential function ⋮ On formulas for π experimentally conjectured by Jauregui–Tsallis

Cites Work

• From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution
• Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy
• New representations of π and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
• Superstatistics
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