Applied Mathematics Letters
By regarding the study of radial and non-redial stellar oscillations as a problem in potential scattering theory, a standard form of the radial Schrödinger equation can be derived. After establishing some preliminary results of astrophysical interest, an analytic expression for the potential is derived for a truncated (i.e., finite radius) polytrope (or class of self-gravitating compressible spheres) of degree n = 5. Properties of the potential are discussed.
Original Publication Citation
Adam, J. A. (1993). The scattering potential for a polytrope of degree-5. Applied Mathematics Letters, 6(4), 9-11. doi:10.1016/0893-9659(93)90114-3
Adam, J. A., "The Scattering Potential for a Polytrope of Degree-5" (1993). Mathematics & Statistics Faculty Publications. 128.