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Language: English

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Pages: 522

Publisher: Springer; 2007 edition (October 23, 2007)

ISBN: 3540734287

Geometric methods in system theory : proceedings of the NATO Advanced Study Institute held at London, England, August 27-September 7, 1973.

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S JAMES GATES, JR.: When the community of theoretical physicists begins to probe the atom, Einstein very definitely gets left out of the picture. Note that in the above discussion, it was assumed that Earth and the Sun are round. I remarked above that in the same way that all the information we have about the relations between locations in a city is embodied in the spatial relations between the points on a map which represent them, all of the information that we have about the internal relations among (and between) states and quantities in quantum mechanics is embodied in the mathematical relations among the vectors and operators which represent them.[ 10 ] From a mathematical point of view, what really distinguishes quantum mechanics from its classical predecessors is that states and quantities have a richer structure; they form families with a more interesting network of relations among their members.

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