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Exactly Solvable Quantum Mechanical Potentials: An Alternative Approach
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Abstract
An alternative method for finding exactly solvable quantum mechanical potentials is presented and discussed. As examples of this approach, the hydrogenic (Coulomb) radial potential and the anharmonic Pöschl—Teller diatomic potential are derived. The utility of the latter potential is checked by fitting it to published data for the B electronic state of diatomic iodine. This alternative means of finding exactly solvable quantum mechanical potentials should be of interest and use to physical and theoretical chemists.
Keywords (Audience):
Graduate Education / ResearchKeywords (Domain):
Physical ChemistryKeywords (Feature):
Research: Science and EducationKeywords (Subject):
Quantum ChemistryCiting Articles
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This article has been cited by 1 ACS Journal articles (1 most recent appear below).
New Potentials for Old: The Darboux Transformation in Quantum Mechanics
Brian Wesley Williams , Tevye C. CeliusJournal of Chemical Education2008 85 (4), 576New Potentials for Old: The Darboux Transformation in Quantum Mechanics
Brian Wesley Williams , Tevye C. CeliusJournal of Chemical Education2008 85 (4), 576The 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 ...
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- Received: August 03, 2009
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