eprintid: 37411
rev_number: 10
eprint_status: archive
userid: 9308
dir: disk0/00/03/74/11
datestamp: 2025-10-09 10:12:22
lastmod: 2025-10-09 10:12:52
status_changed: 2025-10-09 10:12:22
type: doctoralThesis
succeeds: 37410
metadata_visibility: show
creators_name: Daus, Tristan Raphael
title: From Koopman-von Neumann to Cosmic Structure
Formation - Path Integral Approach to Classical
Many-Body Systems
subjects: ddc-530
divisions: i-130300
adv_faculty: af-13
abstract: We develop a functional integral formalism for classical many-body systems based
on the Klimontovich equation, which governs the exact evolution of the N-particle
phase-space density without loss of microscopic information. Since no assumptions
are made on the exact form of the initial state, this formalism is well suited to
describe out-of-equilibrium systems. The formalism is discussed in detail and compared to alternative approaches. Analytical solutions to the tree-level equations for homogeneous systems are presented. Importantly, a first application to cosmic large
scale structure formation is given, and numerical results are discussed. We present
one-loop results for the density fluctuation power spectrum which agree well with
results from numerical simulations and conventional approaches.
date: 2025
id_scheme: DOI
id_number: 10.11588/heidok.00037411
own_urn: urn:nbn:de:bsz:16-heidok-374119
date_accepted: 2025-07-24
advisor: HASH(0x561f65e582a8)
language: eng
bibsort: DAUSTRISTAFROMKOOPMA20251007
full_text_status: public
place_of_pub: Heidelberg
citation:   Daus, Tristan Raphael  (2025) From Koopman-von Neumann to Cosmic Structure Formation - Path Integral Approach to Classical Many-Body Systems.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/37411/1/Dissertation_TristanDaus.pdf