Quantization of Brownian motion

DOI10.1007/s10773-005-9001-3zbMath1119.81068OpenAlexW2072071500MaRDI QIDQ870771

Humam B. Ghassib, Eqab M. Rabei, Abdul-Wali Ajlouni

Publication date: 15 March 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-005-9001-3

zbMATH Keywords

Brownian motionfractional calculusnonconservative systems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum stochastic calculus (81S25)

Related Items (10)

Quantization of the damped harmonic oscillator ⋮ Hamilton-Jacobi and fractional like action with time scaling ⋮ Hamilton-Jacobi fractional mechanics ⋮ Lagrangian and Hamiltonian Formulations of the Damped Harmonic Oscillator Using Caputo Fractional Derivative ⋮ Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives ⋮ Cooper pair formation by quantizing Brownian motion ⋮ Quantization of fractional systems using WKB approximation ⋮ Fractional WKB approximation ⋮ Fractional optimal control problems: a pseudo-state-space approach ⋮ A Central Difference Numerical Scheme for Fractional Optimal Control Problems

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Quantum stochastic differential equations for boson and fermion systems -- method of non-equilibrium thermo field dynamics.
• Formulation of Euler-Lagrange equations for fractional variational problems
• Stochastic quantization of a dissipative dynamical system and its hydrodynamical interpretation
• Nonconservative Lagrangian mechanics: a generalized function approach
• Foundations of Quantum Mechanics
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