A classical explanation of quantization

DOI10.1007/S10701-011-9556-1zbMath1235.81095arXiv0812.3561OpenAlexW3100265809MaRDI QIDQ763226

Gerhard Grössing, Johannes Mesa Pascasio, Herbert Schwabl

Publication date: 9 March 2012

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3561

zbMATH Keywords

Brownian motionLangevin equationquantum mechanicsspinharmonic oscillatornonequilibrium thermodynamics

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Spinor and twistor methods applied to problems in quantum theory (81R25) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Stochastic quantization (81S20)

Related Items (8)

Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon ⋮ Quantum rule for detection probability from Brownian motion in the space of classical fields ⋮ Sub-quantum thermodynamics as a basis of emergent quantum mechanics ⋮ Complex vector formalism of harmonic oscillator in geometric algebra: particle mass, spin and dynamics in complex vector space ⋮ Born's rule as signature of a superclassical current algebra ⋮ Specificity of the Schrödinger equation ⋮ An explanation of interference effects in the double slit experiment: Classical trajectories plus ballistic diffusion caused by zero-point fluctuations ⋮ Geometric phase of quantum wave function and singularities of Bohm dynamics in a one-dimensional system

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