Borel summation of the semi-classical expansion of the partition function associated to the Schrödinger equation

We prove that the partition function associated to a perturbation of the semi-classical harmonic oscillator is the Borel sum of its semi-classical expansion.

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Source https://hal.science/hal-00823084
Author Harge, Thierry
Maintainer CCSD
Last Updated May 11, 2026, 03:09 (UTC)
Created May 11, 2026, 03:09 (UTC)
Identifier hal-00823084
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Analyse, Géométrie et Modélisation (AGM - UMR 8088) ; Centre National de la Recherche Scientifique (CNRS)-CY Cergy Paris Université (CY)
creator Harge, Thierry
date 2013-05-15T00:00:00
harvest_object_id 19b9ce00-df18-4860-b5ad-f3eb4f18d119
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-03T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1305.3738
set_spec type:UNDEFINED