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An Existence Condition for Multilinear Quantum Operations

✍ Scribed by V.K Kharchenko

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
288 KB
Volume
217
Category
Article
ISSN
0021-8693

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✦ Synopsis

It is found to be a necessary and sufficient condition for a set of quantum variables x 1 x 2

x n to have a nonzero multilinear quantum operation. It is proved that if no one proper subset of this set satisfies this condition, then a space of all multilinear quantum operations is of dimension n -2 !

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## Abstract A simple radiation condition at infinity for time‐harmonic massive Dirac spinors is proposed. This condition allows an analogue of the Cauchy integral formula in unbounded domains for null‐solutions of the Dirac equation to be proved. The result is obtained with the aid of methods of qu