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quant-ph2001
Clebsch-Gordan coefficients and the binomial distribution
Paul O'Hara
A class of Clebsch-Gordan coefficients are derived from the properties of conditional probability using the binomial distribution. In particular, in the case of it is s…
quant-ph2001
The spin statistics theorem -- did Pauli get it right?
Paul O'Hara
In this article, we begin with a review of Pauli's version of the spin-statistics theorem and then show, by re-defining the parameter associated with the Lie-Algebra structure of a…
quant-ph2001
Rotational invariance and the Pauli exclusion principle
Paul O'Hara
In this article, the rotational invariance of entangled quantum states is investigated as a possible cause of the Pauli exclusion principle. First, it is shown that a certain class…