Time evolution with symmetric stochastic action
نویسندگان
چکیده
The time evolution of quantum fields is shown to be equivalent a time-symmetric Fokker-Planck equation. Results are obtained using Q-function representation, including fermion-fermion, boson-boson, and fermion-boson interactions with linear, quadratic, cubic, quartic Hamiltonians, typical QED many other cases. For local boson-boson coupling, the resulting probability distribution proved have positive, path integral action principle, leading forward-backward stochastic process in both directions. solution corresponds c-number field equilibrating an additional dimension. Paths trajectories space-time, which samples statistical mechanical steady state higher-dimensional space. We derive numerical methods examples solutions partial differential equations higher dimension, giving agreement simple bosonic dynamics. This approach may lead useful computational techniques for theory, as well new ontological models physical reality.2 MoreReceived 22 September 2019Revised 9 December 2020Accepted 1 February 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013240Published by American Physical Society under terms Creative Commons Attribution 4.0 International license. Further this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasBose-Einstein condensatesPath integralsQuantum theoryTechniquesHeatbath algorithmQuantum Monte CarloQuantum theoryParticles & FieldsAtomic, Molecular Optical
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ژورنال
عنوان ژورنال: Physical review research
سال: 2021
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.3.013240