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Topic: Heisenberg group

	Encyclopedia :: encyclopedia : Werner Heisenberg (Site not responding. Last check: 2007-10-30)
		Werner Karl Heisenberg (December 5, 1901 – February 1, 1976) was a celebrated German physicist and Nobel laureate, one of the founders of quantum mechanics.
		In 1957 Heisenberg together with Otto Hahn, Max von Laue, Carl Friedrich von Weizsäcker and Max Born formulated and signed a protest against nuclear arming of the German Armed Forces and world-wide nuclear armaments, the so-called "Göttingen Declaration of the German Nuclear Physicists".
		In it, an angry Bohr relates that Heisenberg, in their 1941 conversation, did not express any moral problems with the bomb making project, that Heisenberg had spent the past two years working almost exclusively on it, and that he was convinced that the atomic bomb would eventually decide the war.
	www.hallencyclopedia.com /Werner_Heisenberg (1888 words)

	Spectrum of a C-algebra (Site not responding. Last check: 2007-10-30)*
		The hull-kernel topology is easy to describe abstractly, but in practice for C-algebras associated to locally compact topological groups*, other characterizations of the topology on the spectrum in terms of positive definite functions are desirable.
		Examples of separable locally compact groups G such that C(G) is of type I are connected (real) nilpotent Lie groups* and connected real semi-simple Lie groups.
		Thus the Heisenberg groups are all of type I. Compact and abelian groups are also of type I. Theorem.
	www.freedownloadsoft.com /info/icon-extractor.html (1122 words)

	Some questions in QFT
		In the first case exponentiate to get the group elements and take the commutator.
		I heard about that people can thinks [x,p]=i as a central extension of the abelian group [x,p]=0, and there is some weird group called Heisenberg group, but I have not seen any virtue of this kind of viewpoint yet.
		Weinberg seems feel very pleased that he replaced causality with CDP, I wonder why he is so upset about causality, my guess is that maybe because grativity.
	www.pych-one.com /new-5692050-4396.html (3320 words)

	No Title
		Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables, Math.
		Krantz (ed.), and a group of contributors, Lars Valerian Ahlfors, In Memorial, Notices of the American Mathematical Society 45(1998, 248-255.
		Krantz (ed.), and a group of contributors, The Mathematics of Lars Valerian Ahlfors, Notices of the American Mathematical Society 45(1998), 233-242.
	www.math.wustl.edu /~sk/total/total.html (3548 words)

	TAMU Math Preprints
		Kornelson, Local solvability of Laplacian difference operators arising from the discrete Heisenberg group, submitted.
		David Larson, Darrin Speegle, Eckart Schulz, and Keith Taylor, Explicit cross sections of singly generated group actions, to appear as original research in a chapter in a book edited by Chris Heil (who solicited the chapter from me), completed May 2004, accepted July 2004.
		C.H. Yan, R. Graham, J. Lagarias, C. Mallows and A. Wilks, Apollonian circle packings: geometry and group theory II.
	www.math.tamu.edu /news_events/newsletter/0pubs.html (1613 words)

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