Invariant and Group Theoretical Integrations over the U(n) Group

Details Invariant and Group Theoretical Integrations over the U(n) Group Invariant and Group Theoretical Integrations over the U(n) Group

2004-05-12

arxiv.org/abs/math-ph/0405036v1

J.Math.Phys. 45 (2004) 3019-3039

Physics

Mathematical Physics

to appear in the Journal of Mathematical Physics

Scientific paper

10.1063/1.1765214

In a previous article, an `invariant method' to calculate monomial integrals over the U(n) group was introduced. In this paper, we study the more traditional group-theoretical method, and compare its strengths and weaknesses with those of the invariant method. As a result, we are able to introduce a `hybrid method' which combines the respective strengths of the other two methods. There are many examples in the paper illustrating how each of these methods works.

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