Quadrupolar, triple delta-function potential in one dimension

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Quadrupolar, triple delta-function potential in one dimension

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Title: Quadrupolar, triple delta-function potential in one dimension
Author: PATIL, SH
Abstract: The energy and parity eigenstates for quadrupolar, triple delta-function potential are analysed. Using the analytical solutions in specific domains, simple expressions are obtained for even- and odd-parity bound-state energies. The Heisenberg uncertainty product is observed to have a minimum for a specific strength of the potential. The scattering states have a transmission resonance for some energies, and the poles of the transmission coefficients correspond to bound-state energies. These features are of considerable pedagogical interest in the understanding of quantum-mechanical properties of bound and scattering states, for graduate and general physicists.
URI: http://dx.doi.org/10.1088/0143-0807/30/3/020
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9176
http://hdl.handle.net/10054/9176
Date: 2009


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