SUPERSYMMETRY AND POTENTIALS WITH BOUND-STATES AT ARBITRARY ENERGIES .2.
It has been shown previously that a potential V0( chi ) in one dimension which supports no bound states may be used as a reference potential from which, by successive applications of the concept of a supersymmetric partner to a given Hamiltonian, it is possible to find a potential V n( chi ) which s...
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| Format: | Journal article |
| Language: | English |
| Published: |
1987
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| Summary: | It has been shown previously that a potential V0( chi ) in one dimension which supports no bound states may be used as a reference potential from which, by successive applications of the concept of a supersymmetric partner to a given Hamiltonian, it is possible to find a potential V n( chi ) which supports any specified number n of bound states at any chosen energies Ej, j=1,. . .,n. The reflection coefficient of Vn is related to the reflection coefficient of V0. Various alternative representations of the potentials constructed by this procedure are presented. An illustrative example in which Vn is constructed by using a sech2 chi barrier as the reference potential is discussed. |
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