Superposition solutions to the Schrödinger equation
I present a method in the spirit of Green’s functions for generating bound state solutions to the Schrödinger equation. The method is demonstrated by generating ground state and excited state solutions to the one-dimensional, time-independent Schrödinger equation. Its applicability to the radial equ...
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| Veröffentlicht in: | American journal of physics 2002-05, Vol.70 (5), p.532-536 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | I present a method in the spirit of Green’s functions for generating bound state solutions to the Schrödinger equation. The method is demonstrated by generating ground state and excited state solutions to the one-dimensional, time-independent Schrödinger equation. Its applicability to the radial equation for two and three dimensions is also discussed. |
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| ISSN: | 0002-9505 1943-2909 |
| DOI: | 10.1119/1.1466816 |