Applications of Group Theory in Quantum Mechanics by Petrashen M. I. Trifonov J. L. & J. Trifonov
Author:Petrashen, M. I., Trifonov, J. L. & J. Trifonov [Petrashen, M.]
Language: eng
Format: epub
ISBN: 9780486172729
Publisher: Dover Publications
Published: 2013-01-07T16:00:00+00:00
where is a number showing how many times an irreducible representa–tion of weight l is contained in the tensor representation of rank n .
12.4. Show that the decomposition of a spinor representation into irreducible parts can be obtained with the aid of the following recurrence relation:
where is a number showing how many times an irreducible representation of weight j is present in the spinor representation of rank n. Using this formula, find the decompositions of spinor representations for n = 1, 2, ..., 6.
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