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/

Zendy Plus

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

Zendy Tools

Zendy Open

We analyze the one dimensional scattering produced by all variations of theP\"oschl-Teller potential, i.e., potential well, low and high barriers. We showthat the P\"oschl-Teller well and low barrier potentials have no resonancepoles, but an infinite number of simple poles along the imaginary axiscorresponding to bound and antibound states. A quite different situation ariseson the P\"oschl-Teller high barrier potential, which shows an infinite numberof resonance poles and no other singularities. We have obtained the explicitform of their associated Gamow states. We have also constructed ladderoperators connecting wave functions for bound and antibound states as well asfor resonance states. Finally, using wave functions of Gamow and antiboundstates in the factorization method, we construct some examples ofsupersymmetric partners of the P\"oschl-Teller Hamiltonian.

Resonances and antibound states of P\"oschl-Teller potential: Ladder operators and SUSY partners