ASYMPTOTICALLY OUTGOING AND INCOMING SPACES AND QUANTUM SCATTERING

ASYMPTOTICALLY OUTGOING AND INCOMING SPACES AND QUANTUM SCATTERING
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渐近传出和传入空间以及量子散射

DOI:
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发表时间:
2010
影响因子:
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通讯作者:
H. Kitada
H. Kitada
中科院分区:
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文献类型:
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作者:
H. Kitada

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Lax-Phillips [17]的出入空间的概念被推广到渐近出入空间。利用渐近传出空间和渐近传入空间的概念,证明了量子散射理论中波算子的存在性和渐近完备性是通过对[17]中定理1.2的证明稍加修改而得到的。
The notion of outgoing and incoming spaces of Lax-Phillips [17] is generalized to asymptotically outgoing and incoming spaces. With this notion of asymptotically outgoing and incoming spaces, it is shown that the existence and asymptotic completeness of wave operators in quantum scattering theory is obtained by a slightly modified proof of Theorem 1.2 in [17].