paper

No labeling quantum mechanics of indiscernible particles

arXiv:0904.3476 · doi:10.1007/s10773-009-0220-x

Abstract

Our aim in this paper is to show an example of the formalism we have developed to avoid the label-tensor-product-vector-space-formalism of quantum mechanics when dealing with indistinguishable quanta. States in this new vector space, that we call the Q-space, refer only to occupation numbers and permutation operators act as the identity operator on them, reflecting in the formalism the unobservability of permutations, a goal of quasi-set theory.

submitted to the special issue of the International Journal of Theoretical Physics dedicated to the IQSA Meeting "Quantum Structures Brussels-Gdansk '08"

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