In Black Hole Spectroscopy, it is well known that the Pöschl-Teller (PT) potential behaves approximately, or similarly to the more complicated Regge-Wheeler (RW) Potential.

The WKB Approximation has been extensively applied to RW, but I have not seen anything in the literature applying it to the PT potential.

Has this been done, if so what does the approximation yield, and if not - is there some technical challenge that prevents its solution?

In Black Hole Spectroscopy, it is well known that the Pöschl-Teller (PT) potential behaves approximately, or similarly to the more complicated Regge-Wheeler (RW) Potential.

The WKB Approximation has been extensively applied to RW to calculate its quasi-normal mode spectrum, but I have not seen anything in the literature applying it to the PT potential.

Has this been done, if so what does the approximation yield, and if not - is there some technical challenge that prevents its solution?

In Black Hole Spectroscopy, it is well known that the Pöschl-Teller (PT) potential behaves approximately, or similarly to the more complicated Regge-Wheeler Potential.

The WKB Approximation has been extensively applied to Regge-Wheeler, but I have not seen anything in the literature applying it to the PT potential.

Has this been done, if so what does the approximation yield, and if not - is there some technical challenge that prevents its solution?

In Black Hole Spectroscopy, it is well known that the Pöschl-Teller (PT) potential behaves approximately, or similarly to the more complicated Regge-Wheeler (RW) Potential.

The WKB Approximation has been extensively applied to RW, but I have not seen anything in the literature applying it to the PT potential.

Has this been done, if so what does the approximation yield, and if not - is there some technical challenge that prevents its solution?

I am on a research team that is interested in the Quasinormal Mode (QNM) Spectrum of black holes. It is well known that the Pöschl-Teller (PT) potential approximately behaves similarly to the more complicated Regge-Wheeler Potential.

The WKB Approximation has been extensively applied to Regge-Wheeler, but I have not seen anything in the literature applying it to the PT potential.

Has this been done, and if not - is there some technical challenge that prevents its solution?

In Black Hole Spectroscopy, it is well known that the Pöschl-Teller (PT) potential behaves approximately, or similarly to the more complicated Regge-Wheeler Potential.

The WKB Approximation has been extensively applied to Regge-Wheeler, but I have not seen anything in the literature applying it to the PT potential.

Has this been done, if so what does the approximation yield, and if not - is there some technical challenge that prevents its solution?