Nonlinear wave mechanics from classical dynamics and scale covariance

DOI10.1016/j.physleta.2007.06.011zbMath1209.81101OpenAlexW2088361795MaRDI QIDQ715980

F. Hammad

Publication date: 19 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.06.011

zbMATH Keywords

hydrodynamicsscale covariancenonlinear wave mechanicssoliton wave solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Extending Newton's law from nonlocal-in-time kinetic energy

Cites Work

• Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
• Multi-dimensional Cantor sets in classical and quantum mechanics
• Scale relativity, fractal space-time and quantum mechanics
• Non-Abelian gauge field theory in scale relativity
• Conditions for a Solitonic Solution of the Doener–Goldin Equation of Quantum Mechanics
• Quadratic relativistic invariant and metric form in quantum mechanics
• Quantum–classical transition in scale relativity
• Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations
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