The Riccati differential equation approach to certain potential problems in quantum mechanics

Date of Publication

1999

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science Major in Physics

College

College of Science

Department/Unit

Physics

Abstract/Summary

Abstract. The method presented in this study is an alternative approach in solving potential problems in quantum mechanics. It is a nonlinear Riccati equation derived from the nonrelativistic Schrodinger equation. This method has the special feature of giving the most general solution to the Schrodinger problem provided a specific solution is known. However, this method is not applicable to all potential problems since it is a nonlinear differential equation. It is also limited to nonrelativistic quantum mechanical situations.

Abstract Format

html

Format

Print

Accession Number

TU09562

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

77 leaves

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