Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apro13005r&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
Scattering resonances in a potential well followed by a barrier are hard to locate if the width of the resonance is small. A new method for locating very narrow resonances is described, and is confirmed by means of a Morse potential case for which analytic expressions for the phase shifts, the S-matrix and the wave functions are known [1]. The method consists in obtaining the energy eigenvalues of the Schroedinger equation under the two-point boundary condition that the wave function vanish both at the origin and at a point near the top of the barrier. The positive eigenvalues below to the top of the barrier correspond to the desired resonances, as will be shown. It is also numerically confirmed that the time evolution of a wave-packet constructed from momenta which are contained within the width of the resonance is related to the inverse of the width of the resonance. [1] G. Rawitscher, C. Merow, M. Nguyen, and I. Simbotin, "Resonances and Quantum Scattering for the Morse Potential as a Barrier", Am. J. of Phys, to be published.
Koltracht Israel
Rawitscher George H.
Simbotin Ionel
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