Pöschl-Teller Differential Equations

The first and second Pöschl-Teller differential equations are given by

$y^('')-{a^2[(kappa(kappa-1))/(sin^2(ax))+(lambda(lambda-1))/(cos^2(ax))]-b^2}y=0$

and

$y^('')-{a^2[(kappa(kappa-1))/(sinh^2(ax))+(lambda(lambda-1))/(cosh^2(ax))]-b^2}y=0$

respectively.

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References

Barut, A. O.; Inomata, A.; and Wilson, R. "Algebraic Treatment of Second Pöschl-Teller, Morse-Rosen, and Eckart Equations." J. Phys. A: Math. Gen. 20, 4083-4096, 1987.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 126, 1997.

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Pöschl-Teller Differential Equations

Cite this as:

Weisstein, Eric W. "Pöschl-Teller Differential Equations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Poeschl-TellerDifferentialEquations.html

Pöschl-Teller Differential Equations

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References

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