Four-parameter potential box with inverse square singular boundaries
Saudi Center for Theoretical Physics, P. O. Box 32741, 21438, Jeddah, Saudi Arabia
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Accepted: 16 February 2018
Published online: 20 March 2018
Using the Tridiagonal Representation Approach (TRA), we obtain solutions (energy spectrum and corresponding wavefunctions) for a four-parameter potential box with inverse square singularity at the boundaries. It could be utilized in physical applications to replace the widely used one-parameter infinite square potential well (ISPW). The four parameters of the potential provide an added flexibility over the one-parameter ISPW to control the physical features of the system. The two potential parameters that give the singularity strength at the boundaries are naturally constrained to avoid the inherent quantum anomalies associated with the inverse square potential.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018