QUANTIZATION OF MECHANICAL SYSTEMS WITH FRACTIONAL DERIVATIVES

DOI10.1142/S021773230501707XzbMath1134.81390MaRDI QIDQ5703131

Eqab M. Rabei, Sami I. Muslih

Publication date: 8 November 2005

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

zbMATH Keywords

Hamilton-Jacobi equationHamiltonian systemnonconservative systems

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (2)

Optimal binary codes and binary construction of quantum codes ⋮ Extension of perturbation theory to quantum systems with conformable derivative

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fox function representation of non-Debye relaxation processes
• Chaos, fractional kinetics, and anomalous transport
• Formulation of Euler-Lagrange equations for fractional variational problems
• Path integral for second-derivative Lagrangian L=(κ/2)ẍ2+(m/2)ẋ2+(k/2)x2−j(τ)x(τ)

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