零能共振与通量面定理
Zero-energy resonances and the flux -across-surfaces theorem
摘要:
跨面通量猜想是量子散射理论的基石,因为它是证明微分截面和散射振幅之间关系的关键假设。我们改进了最近的结果[TDMB]证明猜想也存在零能量共振或本征值,无论是在点和潜在的散射。
英文摘要:
The flux-across-surfaces conjecture represents a corner stone in quantum scattering theory because it is the key-assumption needed to prove the usual relation between differential cross section and scattering amplitude. We improve a recent result [TDMB] by proving the conjecture also in presence of zero-energy resonances or eigenvalues, both in point and potential scattering.
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