Resonances and quantum scattering for the Morse potential as a barrier

摘要: Quantum scattering in the presence of a potential valley followed by barrier is examined for Morse potential, which exact analytical solutions are known. For our application sign reversed, and wave function required to vanish at origin. This condition requires special combination hypergeometric functions, can lead resonances incident energies below top barrier. Numerical values phase shifts presented outside resonant regions, corresponding properties S matrix complex momentum plane. The validity Breit–Wigner approximation part tested, new method finding location narrow described. time decay packet slowly leaking out region (on scale proportional inverse width resonance) compared with theoretical predictions, complete agreement not found.