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arXiv · 1003.4129

Asymptotic Expansion for the Wave Function in a one-dimensional Model of Inelastic Interaction

Domenico Finco·Alessandro Teta
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Abstract

We consider a two-body quantum system in dimension one composed by a test particle interacting with an harmonic oscillator placed at the position $a>0$. At time zero the test particle is concentrated around the position $R_0$ with average velocity $\pm v_0$ while the oscillator is in its ground state. In a suitable scaling limit, corresponding for the test particle to a semi-classical regime with small energy exchange with the oscillator, we give a complete asymptotic expansion of the wave function of the system in both cases $R_0 a$.

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Domenico Finco, Alessandro Teta. 2010-03-22. Asymptotic Expansion for the Wave Function in a one-dimensional Model of Inelastic Interaction. https://doi.org/10.1063/1.3549587

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