Normalized Gaussian path integrals

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Normalized Gaussian path integrals

JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)

ID	4611351
Author(s)	Corazza, Giulio; Fadel, Matteo
Author(s) at UniBasel	Fadel, Matteo
Year	2020
Title	Normalized Gaussian path integrals
Journal	Physical Review E
Volume	102
Number	2-1
Pages / Article-Number	022135
Abstract	Path integrals play a crucial role in describing the dynamics of physical systems subject to classical or quantum noise. In fact, when correctly normalized, they express the probability of transition between two states of the system. In this work, we show a consistent approach to solve conditional and unconditional Euclidean (Wiener) Gaussian path integrals that allow us to compute transition probabilities in the semiclassical approximation from the solutions of a system of linear differential equations. Our method is particularly useful for investigating Fokker-Planck dynamics and the physics of stringlike objects such as polymers. To give some examples, we derive the time evolution of the d-dimensional Ornstein-Uhlenbeck process and of the Van der Pol oscillator driven by white noise. Moreover, we compute the end-to-end transition probability for a charged string at thermal equilibrium, when an external field is applied.
Publisher	American Physical Society
ISSN/ISBN	2470-0045 ; 2470-0053
edoc-URL	https://edoc.unibas.ch/80299/
Full Text on edoc	No
Digital Object Identifier DOI	10.1103/PhysRevE.102.022135
PubMed ID	http://www.ncbi.nlm.nih.gov/pubmed/32942447
Document type (ISI)	Journal Article

06/05/2024

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