Title page for ETD etd-12132002-163620

Type of Document Dissertation
Author Toloza, Julio Hugo
URN etd-12132002-163620
Title Exponentially Accurate Error Estimates of Quasiclassical Eigenvalues
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Hagedorn, George A. Committee Chair
Chang, Lay Nam Committee Co-Chair
Klaus, Martin Committee Member
Kohler, Werner E. Committee Member
Schmittmann, Beate Committee Member
  • exponentially accurate asymptotics
Date of Defense 2002-12-11
Availability unrestricted
We 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.

  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
  thesis.pdf 399.43 Kb 00:01:50 00:00:57 00:00:49 00:00:24 00:00:02

Browse All Available ETDs by ( Author | Department )

dla home
etds imagebase journals news ereserve special collections
virgnia tech home contact dla university libraries

If you have questions or technical problems, please Contact DLA.