{ "id": "1607.03692", "version": "v1", "published": "2016-07-13T12:15:21.000Z", "updated": "2016-07-13T12:15:21.000Z", "title": "Tight upper and lower bounds to the eigenvalues and critical parameters of a double well", "authors": [ "Francisco M. Fernández" ], "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "By means of a suitable rational approximation to the logarithmic derivative of the wavefunction we obtain tight upper and lower bounds to the eigenvalues and critical parameters of the quartic double-well potential.", "revisions": [ { "version": "v1", "updated": "2016-07-13T12:15:21.000Z" } ], "analyses": { "keywords": [ "lower bounds", "tight upper", "critical parameters", "eigenvalues", "quartic double-well potential" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }