On the quantum potential
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Publication:5713493
DOI10.1080/0036810412531282970zbMath1086.81005arXivquant-ph/0403156OpenAlexW4206281897WikidataQ58265924 ScholiaQ58265924MaRDI QIDQ5713493
Publication date: 14 December 2005
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0403156
General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stochastic mechanics (including stochastic electrodynamics) (81P20)
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Cites Work
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- Nonlinear Schrödinger equations within the Nelson quantization picture.
- On calculus of local fractional derivatives
- Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
- Reversible dynamics in discrete dissipative systems
- Quantum equilibrium and the origin of absolute uncertainty
- \((X,\psi)\) duality and enhanced KdV on a Riemann surface
- A deterministic Bell model
- A realistic setting for Feynman paths.
- Cantorian \(\varepsilon^{(\infty)}\) space-time, a hydrodynamical model and unified superconductivity.
- Scale-relativistic cosmology.
- El Naschie's Cantorian space-time and general relativity by means of Barbilian's group: A Cantorian fractal axiomatic model of space-time
- Is quantum space-time infinite dimensional
- Statistical origin of quantum mechanics
- The scale-relativity program
- Cantorian \(\mathcal E^{(\infty)}\) space-time, gravitation and superconductivity
- Bohmian particle trajectories in relativistic bosonic quantum field theory
- On certain infinite dimensional Cantor sets and the Schrödinger wave
- ``Scale covariant representation of quantum mechanics. Energy in scale-relativity theory.
- Energy and information of chaotic dynamical systems
- There is no ``first quantization
- Quantum derivatives and the Schrödinger equation
- The physics of quantum fields
- THE DEFINITION OF TIME AND QUANTUM VACUUM IN 1 + 1 DIMENSIONS
- Diffusion and Reactions in Fractals and Disordered Systems
- GENERALIZED WEIERSTRASS-ENNEPER INDUCING, CONFORMAL IMMERSIONS, AND GRAVITY
- Fractional diffusion equation on fractals: one-dimensional case and asymptotic behaviour
- Fractional diffusion equation on fractals: three-dimensional case and scattering function
- WHICH CAUSALITY? DIFFERENCES BETWEEN TRAJECTORY AND COPENHAGEN ANALYSES OF AN IMPULSIVE PERTURBATION
- Duality of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">x</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">ψ</mml:mi></mml:math>and a Statistical Interpretation of Space in Quantum Mechanics
- Local Fractional Fokker-Planck Equation
- Scale calculus and the Schrödinger equation
- Hamilton’s principle in stochastic mechanics
- THE GENERAL-COVARIANT AND GAUGE-INVARIANT THEORY OF QUANTUM PARTICLES IN CLASSICAL BACKGROUNDS