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

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

Two <em>PT</em>-symmetric potentials are compared, which possess asymptotically finite imaginary components: the <em>PT</em>-symmetric Rosen-Morse II and the finite <em>PT</em>-symmetric square well potentials. Despite their different mathematical structure, their...

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Main Authors: József Kovács, Géza Lévai
Format: Article
Language:English
Published: CTU Central Library 2017-12-01
Series:Acta Polytechnica
Subjects:
PT-symmetric potentials, bound states, scattering, Dirac-delta limit
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/4610
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spelling doaj-4aa6adf96fdf4a4c8dff68581bf57e932020-11-24T22:42:41ZengCTU Central LibraryActa Polytechnica1210-27091805-23632017-12-0157641241710.14311/AP.2017.57.04124044ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALSJózsef Kovács0Géza Lévai1Institute for Nuclear Research, Hungarian Academy of Sciences (MTA Atomki)Institute for Nuclear Research, Hungarian Academy of Sciences (MTA Atomki)Two <em>PT</em>-symmetric potentials are compared, which possess asymptotically finite imaginary components: the <em>PT</em>-symmetric Rosen-Morse II and the finite <em>PT</em>-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 <br />asymptotically non-vanishing imaginary potential components. Here the <em>V(x</em>)= <em>γδ</em>(<em>x</em>)+ i2Λ sgn(<em>x</em>) 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.https://ojs.cvut.cz/ojs/index.php/ap/article/view/4610PT-symmetric potentials, bound states, scattering, Dirac-delta limit
collection DOAJ
language English
format Article
sources DOAJ
author József Kovács
Géza Lévai
spellingShingle József Kovács
Géza Lévai
ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
Acta Polytechnica
PT-symmetric potentials, bound states, scattering, Dirac-delta limit
author_facet József Kovács
Géza Lévai
author_sort József Kovács
title ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
title_short ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
title_full ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
title_fullStr ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
title_full_unstemmed ON THE COMMON LIMIT OF THE PT-SYMMETRIC ROSEN–MORSE II AND FINITE SQUARE WELL POTENTIALS
title_sort on the common limit of the pt-symmetric rosen–morse ii and finite square well potentials
publisher CTU Central Library
series Acta Polytechnica
issn 1210-2709
1805-2363
publishDate 2017-12-01
description Two <em>PT</em>-symmetric potentials are compared, which possess asymptotically finite imaginary components: the <em>PT</em>-symmetric Rosen-Morse II and the finite <em>PT</em>-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 <br />asymptotically non-vanishing imaginary potential components. Here the <em>V(x</em>)= <em>γδ</em>(<em>x</em>)+ i2Λ sgn(<em>x</em>) 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.
topic PT-symmetric potentials, bound states, scattering, Dirac-delta limit
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/4610
work_keys_str_mv AT jozsefkovacs onthecommonlimitoftheptsymmetricrosenmorseiiandfinitesquarewellpotentials
AT gezalevai onthecommonlimitoftheptsymmetricrosenmorseiiandfinitesquarewellpotentials
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