The Riccati differential equation approach to certain potential problems in quantum mechanics
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 Schrodi...
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| Format: | text |
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Animo Repository
1999
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/1707 |
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| Institution: | De La Salle University |
| 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. |
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