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  Home > JCE Print > Journal of Chemical Education > Issues > 2008  > April  >
Research: Science and Education
New Potentials for Old: The Darboux Transformation in Quantum Mechanics
Brian Wesley Williams
Department of Chemistry, Bucknell University, Lewisburg, PA 17837

Tevye C. Celius
Department of Chemistry and Biochemistry, Ohio Northern University, Ada, OH 45810

Cover
April 2008
Vol. 85 No. 4
p. 576
Abstract
The Darboux transformation in quantum mechanics is reviewed at a basic level. Examples of how this transformation leads to exactly solvable potentials related to the "particle in a box" and the harmonic oscillator are shown in detail. The connection between the Darboux transformation and some modern operator based approaches to quantum mechanics is also outlined.
More Information
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Citation
Williams, Brian Wesley; Celius, Tevye C. J. Chem. Educ. 2008, 85, 576.
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Keywords
Graduate Education / Research; Physical Chemistry; Quantum Chemistry; Textbooks / Reference Books; Theoretical Chemistry; Upper-Division Undergraduate
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History
Created:
Last Updated:
2/26/2008
2/29/2008
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  Home > JCE Print > Journal of Chemical Education > Issues > 2008  > April  > Page 576


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