| 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 |
|
| Keywords |
- exponentially accurate asymptotics
|
| Date of Defense |
2002-12-11 |
| Availability |
unrestricted |
Abstract
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.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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thesis.pdf |
399.43 Kb |
00:01:50 |
00:00:57 |
00:00:49 |
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