Some modern developments in the theory of real division algebras
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چکیده
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Quantum theory may be formulated using Hilbert spaces over any of the three associative normed division algebras: the real numbers, the complex numbers and the quaternions. Indeed, these three choices appear naturally in a number of axiomatic approaches. However, there are internal problems with real or quaternionic quantum theory. Here we argue that these problems can be resolved if we treat r...
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ژورنال
عنوان ژورنال: Proceedings of the Estonian Academy of Sciences
سال: 2010
ISSN: 1736-6046
DOI: 10.3176/proc.2010.1.09