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Historically, Ehrenfests theorem (1927) is the first one which shows that classical physics can emerge from quantum physics as a kind of approximation. We recall the theorem in its original form. Next, we highlight its generalizations to the relativistic Dirac particle, and to a particle with spin and izospin. We argue that apparent classicality of the macroscopic world can probably be explained within the framework of standard quantum mechanics.
According to the Goldstone theorem a scalar theory with a spontaneously broken global symmetry contains strictly massless states. In this letter we identify a loophole in the current-algebra proof of the theorem. Therefore, the question whether in mo
Steve Gull, in unpublished work available on his Cambridge University homepage, has outlined a proof of Bells theorem using Fourier theory. Gulls philosophy is that Bells theorem can be seen as a no-go theorem for a project in distributed computing (
In 1947, M. S. Macphail constructed a series in $ell_{1}$ that converges unconditionally but does not converge absolutely. According to the literature, this result helped Dvoretzky and Rogers to finally answer a long standing problem of Banach Space
We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional.
We present a proof of Chows theorem using two results of Errett Bishop retated to volumes and limits of analytic varieties. We think this approach suggested a long time ago in the beautiful book by Gabriel Stolzenberg, is very attractive and easier f