I know that the bound eigenstates for the reflectionless potential (Poschl-Teller potential) is(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\Psi_{\lambda,\mu}=P^{\lambda}_{\mu}[/itex](tanh(x))

where

[itex]P^{\lambda}_{\mu}[/itex] are the associated Legendre polynomials and [itex]\lambda[/itex] is a positive integer while [itex]\mu[/itex] is an integer able to take on values from [itex]\lambda, \lambda-1, ... , 1[/itex]

Is this the same equation for unbound states. For example, if [itex]\lambda=1.1[/itex], would I be able to use the top equation or is a different equation be necessary?

I'm attempting to compare the eigenstates for [itex]\lambda=1[/itex] to [itex]\lambda=1.1[/itex] as seen on:

http://demonstrations.wolfram.com/EigenstatesForPoeschlTellerPotentials/

Thanks.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Reflectionless Potential Eigentates

Loading...

Similar Threads - Reflectionless Potential Eigentates | Date |
---|---|

I Lho potential | Feb 7, 2018 |

I About the strength of a perturbing potential | Jan 31, 2018 |

B Negative chemical potential | Nov 2, 2017 |

**Physics Forums - The Fusion of Science and Community**