{ "id": "1305.3738", "version": "v1", "published": "2013-05-16T09:45:05.000Z", "updated": "2013-05-16T09:45:05.000Z", "title": "Borel summation of the semi-classical expansion of the partition function associated to the Schrödinger equation", "authors": [ "Thierry Harge" ], "categories": [ "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2013-05-16T09:45:05.000Z" } ], "analyses": { "keywords": [ "partition function", "semi-classical expansion", "borel summation", "schrödinger equation", "semi-classical harmonic oscillator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.3738H" } } }