Helmoltz problem for the Riccati equation from an analogous Friedmann equation.
Journal
The European physical journal. C, Particles and fields
ISSN: 1434-6044
Titre abrégé: Eur Phys J C Part Fields
Pays: France
ID NLM: 101622319
Informations de publication
Date de publication:
2022
2022
Historique:
received:
30
11
2021
accepted:
21
12
2021
entrez:
24
1
2022
pubmed:
25
1
2022
medline:
25
1
2022
Statut:
ppublish
Résumé
We report a solution of the inverse Lagrangian problem for the first order Riccati differential equation by means of an analogy with the Friedmann equation of a suitable Friedmann-Lemaître-Robertson-Walker universe in general relativity. This analogous universe has fine-tuned parameters and is unphysical, but it suggests a Lagrangian and a Hamiltonian for the Riccati equation and for the many physical systems described by it.
Identifiants
pubmed: 35069004
doi: 10.1140/epjc/s10052-021-09966-0
pii: 9966
pmc: PMC8741700
doi:
Types de publication
Journal Article
Langues
eng
Pagination
13Informations de copyright
© The Author(s) 2022.
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