Weyl Systems, Heisenberg Groups and Arithmetic Physics *
نویسنده
چکیده
1. Introduction. Arithmetic physics, or better, arithmetic quantum theory, is a term that refers to a collection of ideas and partial results, loosely held together, that suggests that there are connections between the worlds of quantum physics and number theory and that onw should try to discover and develop these connections. At one extreme is the modest idea that one should try to formulate some of the mathematical questions arising in quantum theory over fields and rings other than R, such as the field of p–adic numbers Q p , or the ring of adeles over the rationals A(Q). The point here is not to try to develop the alternative theories as a substitute for the actual theory or even look for physical interpretations, but rather to look for results that would unify what we already know over R.
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تاریخ انتشار 2000