Solution of the Quantum Harmonic Oscillator Plus a Delta-Function Potential at the Origin: The 'Oddness' of Its Even-Parity Solutions
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| Title: | Solution of the Quantum Harmonic Oscillator Plus a Delta-Function Potential at the Origin: The 'Oddness' of Its Even-Parity Solutions |
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| Language: | English |
| Authors: | Viana-Gomes, J., Peres, N. M. R. |
| Source: | European Journal of Physics. Sep 2011 32(5):1377-1384. |
| Availability: | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP |
| Peer Reviewed: | Y |
| Physical Description: | |
| Page Count: | 8 |
| Publication Date: | 2011 |
| Document Type: | Journal Articles Reports - Descriptive |
| Descriptors: | Textbooks, Quantum Mechanics, Calculus, Spreadsheets, Energy, Physics, Scientific Concepts, Equations (Mathematics), Computation, Science Education |
| DOI: | 10.1088/0143-0807/32/5/025 |
| ISSN: | 0143-0807 |
| Abstract: | We derive the energy levels associated with the even-parity wavefunctions of the harmonic oscillator with an additional delta-function potential at the origin. Our results bring to the attention of students a non-trivial and analytical example of a modification of the usual harmonic oscillator potential, with emphasis on the modification of the boundary conditions at the origin. This problem calls the attention of the students to an inaccurate statement in quantum mechanics textbooks often found in the context of the solution of the harmonic oscillator problem. (Contains 1 table, 3 figures and 4 footnotes.) |
| Abstractor: | As Provided |
| Number of References: | 10 |
| Entry Date: | 2012 |
| Accession Number: | EJ963885 |
| Database: | ERIC |
| Abstract: | We derive the energy levels associated with the even-parity wavefunctions of the harmonic oscillator with an additional delta-function potential at the origin. Our results bring to the attention of students a non-trivial and analytical example of a modification of the usual harmonic oscillator potential, with emphasis on the modification of the boundary conditions at the origin. This problem calls the attention of the students to an inaccurate statement in quantum mechanics textbooks often found in the context of the solution of the harmonic oscillator problem. (Contains 1 table, 3 figures and 4 footnotes.) |
|---|---|
| ISSN: | 0143-0807 |
| DOI: | 10.1088/0143-0807/32/5/025 |
