Reducibility of parastatistics representations

Casher, A.; Frieder, G.; Glück, M.; Peres, Asher

doi:10.1016/0029-5582(65)90789-3

Cited by 9 publications

(5 citation statements)

References 12 publications

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“…They concluded that there are no theoretical reasons against an existence of degenerate permutation states in quantum mechanics although it is disagreeable. The same conclusion was made earlier by Casher et al [47], who labeled this situation unpalatable.…”

Section: Contradictions With the Concept Of Particle Identity In The supporting

confidence: 71%

“…In this sense, the critique of Steinmann arguments [45] by Hartle and Taylor [46] was correct. Nevertheless, the general conclusion [46,47] that there are no theoretical prohibitions on the existence of some unknown identical particle systems in degenerate permutation states is not obvious and it is worth revising this conclusion. As we will see below, the assumption in Refs.…”

Section: Contradictions With the Concept Of Particle Identity In The mentioning

confidence: 95%

“…As we will see below, the assumption in Refs. [46,47] that the triangular representation for three particles can originate from the state of two particles described by the linear combination of symmetrical and antisymmetrical functions leads to distinguishable particles [see Eq. (27)].…”

Section: Contradictions With the Concept Of Particle Identity In The mentioning

confidence: 99%

“…[46,47] as "disagreeable" or "unpalatable" in reality are physically forbidden. So, we have to consider two particles not in a mixed but in the pure fermion or boson state.…”

mentioning

confidence: 97%

“…The point is that, contrary to the statement in Refs. [46,47], the twoparticle wave function cannot be described by some coherent superposition…”

mentioning

confidence: 98%

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Is the Pauli exclusive principle an independent quantum mechanical postulate?

Kaplan

2002

Int J of Quantum Chemistry

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Foundation of the Pauli exclusive principle is discussed. It isdemonstrated that the indistinguishability principle is insensitive to the permutation symmetry of the wave function and cannot be used as a criterion for the verification of the Pauli exclusive principle. The heuristic arguments are given in favor that the existence in nature of only the nondegenerate permutation representations (symmetrical and antisymmetrical) is not occasional. As follows from our analysis of possible scenarios, the permission of degenerate permutation representations leads to contradictions with the concept of particle identity and their independence. Thus, the prohibition of degenerate permutation states by the Pauli exclusive principle follows from the general physical assumptions inside quantum theory, but the problem of spinstatistics connection is still open. It is pointed out that the Pauli exclusive principle and the Jahn-Teller effect have some similar features.

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Section: Contradictions With the Concept Of Particle Identity In The supporting

confidence: 71%

Section: Contradictions With the Concept Of Particle Identity In The mentioning

confidence: 95%

Section: Contradictions With the Concept Of Particle Identity In The mentioning

confidence: 99%

“…[46,47] as "disagreeable" or "unpalatable" in reality are physically forbidden. So, we have to consider two particles not in a mixed but in the pure fermion or boson state.…”

mentioning

confidence: 97%

“…The point is that, contrary to the statement in Refs. [46,47], the twoparticle wave function cannot be described by some coherent superposition…”

mentioning

confidence: 98%

See 3 more Smart Citations