Universal Forms for One-Dimensional Quantum Hamiltonians: A Comparison of the SUSY and the De La Peña Factorization Approaches
We show that by linking two factorization techniques often employed to solve Schroedinger's equation one can give any one-dimensional hamiltonian the same form in terms of quantities typical of these approaches. These are the supersymmetric technique (SUSY) and the one of De La Peña's. It...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/575217 |
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| Summary: | We show that by linking two factorization techniques often employed
to solve Schroedinger's equation one can give any one-dimensional hamiltonian
the same form in terms of quantities typical of these approaches.
These are the supersymmetric technique (SUSY) and the one of De La
Peña's. It is shown that the linkage between them exhibits interesting
peculiarities, that are illustrated in the case of a very important family of
quantum potentials, namely, reflection-less ones. |
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| ISSN: | 0161-1712 1687-0425 |