ON SOME SIMILARITIES AND DIFFERENCES BETWEEN FRACTIONAL PROBABILITY DENSITY SIGNED MEASURE OF PROBABILITY AND QUANTUM PROBABILITY

DOI10.1142/S0217984909019041zbMath1171.82320OpenAlexW2065828584MaRDI QIDQ3629900

Guy Jumaric

Publication date: 2 June 2009

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

Full work available at URL: https://doi.org/10.1142/s0217984909019041

zbMATH Keywords

fractional calculusquantum probabilitycoarse-grainingmodified Riemann-Liouville derivativefractional Taylor's seriesinformational entropyfractional probability

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Fractals (28A80)

Related Items (3)

Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy ⋮ Subjective observation via informational invariance results in creation of fractals and self‐similar processes of fractional order ⋮ Derivation of an amplitude of information in the setting of a new family of fractional entropies

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Belief functions generated by signed measures
• A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
• Possible generalization of Boltzmann-Gibbs statistics.
• Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of nondifferentiable functions
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Construction of a complex-valued fractional Brownian motion of order N
• Local Fractional Fokker-Planck Equation

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