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High precision experimental tests of the symmetrization postulate for fermions

John D. Gillaspy

A review is given of experiments that have been used to infer an upper bound on the degree (β2) to which the symmetrization postulate might be violated in nature. A proposed grouping of the experiments into seven different categories is put forth, based on different conceptual difficulties associated with interpreting them. Some comments are made about the strengths and weaknesses of representative experiments from several of the categories. It is suggested that there may be a considerable body of existing experimental data that could be analyzed to infer additional limits on SP-violation; as an example of this I consider the suppression of molecular recombination in spin-polarized atomic hydrogen by strong magnetic fields. While this article is limited to experiments involving fermions, an extensive bibliography on both theory and experiments related to the spin-statistics connection in general is referred to.A review is given of experiments that have been used to infer an upper bound on the degree (β2) to which the symmetrization postulate might be violated in nature. A proposed grouping of the experiments into seven different categories is put forth, based on different conceptual difficulties associated with interpreting them. Some comments are made about the strengths and weaknesses of representative experiments from several of the categories. It is suggested that there may be a considerable body of existing experimental data that could be analyzed to infer additional limits on SP-violation; as an example of this I consider the suppression of molecular recombination in spin-polarized atomic hydrogen by strong magnetic fields. While this article is limited to experiments involving fermions, an extensive bibliography on both theory and experiments related to the spin-statistics connection in general is referred to.

AIP conference proceedingsJan 1, 20005 citations

Postulates of Quantum Theory

WORLD SCIENTIFIC eBooksJan 1, 20114 citations

Reply to the Comment on ‘The operational foundations of PT-symmetric and quasi-Hermitian quantum theory’

Abhijeet Alase, Salini Karuvade, Carlo Maria Scandolo

Abstract This document is our reply to the Comment (Miloslav Znojil 2023 J. Phys. A: Math. Theor. 56 038001) on our recent work titled ‘The operational foundations of PT-symmetric and quasi-Hermitian quantum theory’. The original Comment consists of three addenda to our work. The first addendum claims that our work is ill-motivated as the motivating question, namely whether PT-symmetric quantum theory extends the standard quantum theory, was already answered in the literature. The second addendum points to some missing references in our work, and the third addendum suggests what constraints could lead to an extension of standard quantum theory. In our reply, we explain that the claim in the first addendum is a result of a misinterpretation of our motivating question. When interpreted correctly, the third addendum in the Comment in itself elaborates on why our motivating question is interesting and relevant. We also briefly comment on the prospects of an extension of standard quantum theory along the lines suggested in the third addendum. As our response to the second addendum, we explain our rationale behind citing certain references while leaving out others.Abstract This document is our reply to the Comment (Miloslav Znojil 2023 J. Phys. A: Math. Theor. 56 038001) on our recent work titled ‘The operational foundations of PT-symmetric and quasi-Hermitian quantum theory’. The original Comment consists of three addenda to our work. The first addendum claims that our work is ill-motivated as the motivating question, namely whether PT-symmetric quantum theory extends the standard quantum theory, was already answered in the literature. The second addendum points to some missing references in our work, and the third addendum suggests what constraints could lead to an extension of standard quantum theory. In our reply, we explain that the claim in the first addendum is a result of a misinterpretation of our motivating question. When interpreted correctly, the third addendum in the Comment in itself elaborates on why our motivating question is interesting and relevant. We also briefly comment on the prospects of an extension of standard quantum theory along the lines suggested in the third addendum. As our response to the second addendum, we explain our rationale behind citing certain references while leaving out others.

arXiv:2303.14890Journal of Physics A Mathematical and TheoreticalApr 4, 20230 citations

A Further Review on the Implications of Quantum Postulates for Natural Philosophy

Víctor Gómez Pin

Proceedings of the XXIII World Congress of PhilosophyJan 1, 20180 citations

SOME CONCEPTUAL ISSUES IN QUANTUM THEORY

IMPERIAL COLLEGE PRESS eBooksSep 1, 19950 citations

Realistic interpretation of quantum mechancis

Emilio Santos

It is argued that the usual postulates of quantum mechanics are too strong. It is conjectured that it is possible to interpret all experiments if we maintain the formalism of quantum theory without modification, but weaken the postulates concerning the relation between the formalism and the experiments. A set of postulates is proposed where realism is insured. Comments on the Bell theorem are made on the light of the new postulates.

arXiv:0912.4098Dec 21, 20091 citation

Some comments on three suggested postulates for quantum theory

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