Date of Award

Spring 1972

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Tani, Smio

Second Advisor

Deshotels, Warren

Third Advisor

Mendelson, Kenneth S.


The purpose of this investigation is to contribute to the theory of one-dimensional scattering through a thorough study of the two-step potential. For this purpose we have studied the effect of changing a simple square well potential near its edge by adding a second step. The problem is treated using both perturbational and non-perturbational methods. The order of procedure is: (1) a general introduction, (2) multiple reflections of a wave packet by an attractive potential well, (3) discussion of the- two-step potential using perturbation theory, (4) calculation of depth of potential well for zero energy resonance, (5) conclusion.