ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS

Authors

  • József Kovács Institute for Nuclear Research, Hungarian Academy of Sciences (MTA Atomki)
  • Géza Lévai Institute for Nuclear Research, Hungarian Academy of Sciences (MTA Atomki) http://orcid.org/0000-0003-3785-3165

DOI:

https://doi.org/10.14311/AP.2017.57.0412

Keywords:

PT-symmetric potentials, bound states, scattering, Dirac-delta limit

Abstract

Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: the PT-symmetric Rosen-Morse II and the finite PT-symmetric square well potentials. Despite their different mathematical structure, their shape is rather similar, and this fact leads to similarities in their physical characteristics. Their bound-state energy spectrum was found to be purely real, an this finding was attributed to their
asymptotically non-vanishing imaginary potential components. Here the V(x)= γδ(x)+ i2Λ sgn(x) potential is discussed, which can be obtained as the common limit of the two other potentials. The energy spectrum, the bound-state wave functions and the transmission and reflection coefficients are studied in the respective limits, and the results are compared.

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Published

2017-12-30

Issue

Vol. 57 No. 6 (2017)

Section

Articles

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How to Cite

Kovács, J., & Lévai, G. (2017). ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS. Acta Polytechnica, 57(6), 412-417. https://doi.org/10.14311/AP.2017.57.0412