The Flux-Across-Surfaces Theorem for a Point Interaction Hamiltonian
The Flux-Across-Surfaces Theorem for a Point Interaction Hamiltonian
复制标题
点相互作用哈密顿量的跨面通量定理
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Teta
中科院分区：
文献类型：
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作者：
G. Panati;A. Teta
跨表面通量定理在量子散射理论中建立了渐近传出态与实验中直接测量的量之间的基本关系。我们使用传播器的显式表达式来证明具有点相互作用的哈密顿量。该证明仅需要对初始状态的假设，并且还涵盖零能量共振的情况。考虑到结果的可能扩展，我们还概述了一种基于广义特征函数的不同方法。
The flux-across-surfaces theorem establishes a fundamental relation in quantum scattering theory between the asymptotic outgoing state and a quantity which is directly measured in experiments. We prove it for a hamiltonian with a point interaction, using the explicit expression for the propagator. The proof requires only assuptions on the initial state and it covers also the case of zero-energy resonance. We also outline a different approach based on generalized eigenfunctions, in view of a possible extension of the result.