English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The existence of a novel enlarged shape invariance property valid for somerational extensions of shape-invariant conventional potentials, first pointedout in the case of the Morse potential, is confirmed by deriving all rationalextensions of the Rosen-Morse II and Eckart potentials that can be obtained infirst-order supersymmetric quantum mechanics. Such extensions are shown tobelong to three different types, the first two strictly isospectral to somestarting conventional potential with different parameters and the third with anextra bound state below the spectrum of the latter. In the isospectral cases,the partner of the rational extensions resulting from the deletion of theirground state can be obtained by translating both the potential parameter $A$(as in the conventional case) and the degree $m$ of the polynomial arising inthe denominator. It therefore belongs to the same family of extensions, whichturns out to be closed.

Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials