IDENTICAL PARTICLES AND PERMUTATION GROUP
Abstract
Second quantization is revisited and creation and annihilation operators are shown to be related, on the same footing both to the algebra h(1), and to the superalgebra osp(1|2) that are shown to be both compatible with Bose and Fermi statistics. The two algebras are completely equivalent in the one-mode sector but, because of grading of osp(1|2), differ in the many-particle case. The possibility of a unorthodox quantum field theory is suggested.
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