{ "id": "quant-ph/0008116", "version": "v1", "published": "2000-08-28T13:00:44.000Z", "updated": "2000-08-28T13:00:44.000Z", "title": "Numerical Constructions of Perturbation Series in Quantum Mechanics", "authors": [ "Miloslav Znojil" ], "comment": "IX Int. Colloquium on Numerical Analysis and Computer Science with Applications, Plovdiv, Bulgaria, August 12 - 17, 2000 (60 min. inv. talk)", "categories": [ "quant-ph" ], "abstract": "A few modified textbook Rayleigh-Schr\\\"{o}dinger perturbative representations of bound states are reviewed. They were all inspired by an adaptive re-split of the Hamiltonian, using nonstandard bases and the flexibility of normalization of the wave functions.", "revisions": [ { "version": "v1", "updated": "2000-08-28T13:00:44.000Z" } ], "analyses": { "keywords": [ "quantum mechanics", "perturbation series", "numerical constructions", "bound states", "nonstandard bases" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000quant.ph..8116Z" } } }