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中国物理学会期刊

交换子的积分表示

CSTR: 32037.14.aps.17.163

INTEGRAL REPRESENTATIONS OF COMMUTATORS

CSTR: 32037.14.aps.17.163
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  • 在中间态最低质量不为零的情形下,求出了双交换子的积分表示的一个可能形式。在最低质量取为零时,它化为Dyson的结果。又讨论了如何简单地自积分表示求出色散关系。

     

    A possible integral representation of double commutators allowing non-vanishing mass of intermediate states is obtained. As expected, it reduces to Dyson's result on putting the masses to be zero. A discussion is also given showing how dispersive relatsions for non-forward scattering can be obtained on assuming the fourier transform F(q0, q) of the usual N|j(x/2),j(-x/2)|pN> to vanish not only for certain real q but also for asmall interval of imaginary q. It is pointed out that similar assumption is actually involved in customary proofs of dispersive relations.

     

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