Applications of Darboux Transformations to Alpha-decay

Details Applications of Darboux Transformations to Alpha-decay Applications of Darboux Transformations to Alpha-decay

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprb17008f&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

Darboux Transformations have been successful in linking solutions of complex differential equations with solutions of much simpler equations. Of particular interest is its ability to transform solutions of the Schrödinger free-particle equation into solutions for Schrödinger equations with complex potentials. Recently the free-particle equation has been linked to a Schrödinger equation with a potential that resembles the potential used in nuclear physics to model a-decay. Using an analogy to Fourier series, we will obtain solutions associated with various initial probability distributions. Using these solutions we develop a new method of approximating the half-lives of atoms.

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