Quantization of fractional systems using WKB approximation

DOI10.1016/j.cnsns.2009.05.022zbMath1221.81074OpenAlexW2082930058MaRDI QIDQ718168

Sami I. Muslih, Eqab M. Rabei, Dumitru Baleanu

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.022

zbMATH Keywords

fractional derivativefractional WKB approximationHamilton's principle function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Hamilton's principle (70H25) Integral operators (45P05) Lagrange's equations (70H03)

Related Items (3)

A modification of \(\mathsf {WKB}\) method for fractional differential operators of Schrödinger's type ⋮ Quantization of the damped harmonic oscillator ⋮ Time-fractional Burgers equation for dust acoustic waves in a two different temperatures dusty plasma

Cites Work

• The Hamilton formalism with fractional derivatives
• Quantization of Brownian motion
• Fractional Hamiltonian formalism within Caputo's derivative
• Hamilton-Jacobi fractional mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Hamilton-Jacobi treatment of constrained systems with second-order Lagrangians
• Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
• Formulation of Euler-Lagrange equations for fractional variational problems
• Fractional sequential mechanics - models with symmetric fractional derivative.
• Lagrangean and Hamiltonian fractional sequential mechanics.
• HAMILTON–JACOBI TREATMENT OF CONSTRAINED SYSTEMS
• POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
• QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION
• Hamilton–Jacobi Treatment of Lagrangians with Linear Velocities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quantization of fractional systems using WKB approximation