On quantum theory in terms of white noise
On quantum theory in terms of white noise
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从白噪声角度看量子理论
DOI：
10.1017/s0027763000017852
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发表时间：
1977
影响因子：
0.8
通讯作者：
Ludwig Streit
中科院分区：
文献类型：
--
作者：
T. Hida;Ludwig Streit
经常有人指出，如果时间参数t是虚数而不是真实的，那么从量子理论中可以得到一个更容易处理的结构。在用i·t代替t的情况下，薛定谔方程变成了广义热方程，时间有序的相关函数变成了概率测度的矩，等等。纳尔逊，K。Osterwalder和R. Schrader和其他人[8]，这将允许反向过渡到真实的时间后，一个已经建立了虚时间（"欧几里德"）模型。
It has often been pointed out that a much more manageable structure is obtained from quantum theory if the time parameter t is chosen imaginary instead of real. Under a replacement of t by i·t the Schrödinger equation turns into a generalized heat equation, time ordered correlation functions transform into the moments of a probability measure, etc. More recently this observation has become extremely important for the construction of quantum dynamical models, where criteria were developed by E. Nelson, by K. Osterwalder and R. Schrader and others [8] which would permit the reverse transition to real time after one has constructed an imaginary time (“Euclidean”) model.