SOME APPLICATIONS OF THE PARTICLE-IN-A-BOX EIGENFUNCTIONS - FAST-CONVERGENT VARIATIONAL AND RELATED CALCULATIONS

Citation
Rk. Pathak et al., SOME APPLICATIONS OF THE PARTICLE-IN-A-BOX EIGENFUNCTIONS - FAST-CONVERGENT VARIATIONAL AND RELATED CALCULATIONS, Physics letters. A, 188(4-6), 1994, pp. 300-304
Citations number
34
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
188
Issue
4-6
Year of publication
1994
Pages
300 - 304
Database
ISI
SICI code
0375-9601(1994)188:4-6<300:SAOTPE>2.0.ZU;2-J
Abstract
Eigenfunctions of the quantum mechanical particle-in-a-box problem are shown to lead to a new trigonometric expansion scheme with good conve rgence properties. This hitherto unexplored expansion strategy is foun d to be quite efficient in variational calculations and as an alternat ive to the Fourier series. Demonstrative computations involve a few on e-dimensional models of confining potentials for bound states and puls es of various shapes in signal analysis.