Semiclassical Newtonian Field Theories Based On Stochastic Mechanics I

M. Derakhshani

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

This is the first in a two-part series in which we extend non-relativistic stochastic mechanics, in the ZSM formulation [1, 2], to semiclassical Newtonian gravity (ZSM-Newton) and semiclassical Newtonian electrodynamics (ZSM-Coulomb), under the assumption that the gravitational and electromagnetic fields are fundamentally classical (i.e., not independently quantized fields). Our key findings are: (1) a derivation of the usual N-particle Schr{ö}dinger equation for many particles interacting through operator-valued gravitational or Coulomb potentials, and (2) recovery of the `single-body' Schr{ö}dinger-Newton and Schr{ö}dinger-Coulomb equations as mean-field equations valid for systems of gravitationally and electrostatically interacting identical particles, respectively, in the weak-coupling large N limit. We also compare ZSM-Newton/Coulomb to semiclassical Newtonian gravity/electrodynamics approaches based on standard quantum theory, dynamical collapse theories, and the de Broglie-Bohm theory.
Original languageEnglish
Title of host publicationStochastic Mechanics Without Ad Hoc Quantization
Subtitle of host publicationTheory And Applications To Semiclassical Gravity
PublisherUtrecht University
Chapter4
ISBN (Print)978-94-028-0792-9
Publication statusPublished - 19 Oct 2017

Keywords

  • semiclassical
  • Newtonian gravity
  • Zitterbewegung
  • Stochastic mechanics
  • Nelson

Fingerprint

Dive into the research topics of 'Semiclassical Newtonian Field Theories Based On Stochastic Mechanics I'. Together they form a unique fingerprint.

Cite this