Abstract
dc:description.abstractWe study the behavior of truncated Rayleigh-Schröodinger series for the low-lying eigenvalues of the time-independent Schröodinger equation, when the Planck's constant is considered in the semiclassical limit. Under certain hypotheses on the potential energy, we prove that, for any given small value of the Planck's constant, there is an optimal truncation of the series for the approximate eigenvalues, such that the difference between an approximate and actual eigenvalue is smaller than an exponentially small function of the Planck's constant. We also prove the analogous results concerning the eigenfunctions.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Physics
- Department dc:contributor.department
- Physics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 2002
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Toloza, Julio Hugo
- Chairs dc:contributor.committeechair
-
- Hagedorn, George A.
- Chang, Lay Nam
- Committee members dc:contributor.committeemember
-
- Kohler, Werner E.
- Schmittmann, Beate
- Klaus, Martin
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-12132002-163620
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/30072