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Antisymmetry
About: Antisymmetry is a research topic. Over the lifetime, 214 publications have been published within this topic receiving 7914 citations.
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TL;DR: In this paper , the Brukner-Zeilinger invariant information with conjugate symmetry and antisymmetry is shown to be convex in the quantum state.
Abstract: To quantify the intrinsic information content in a quantum state, Brukner and Zeilinger introduced the concept of operationally invariant information in terms of the outcome probabilities of measuring a complete set of mutually complementary observables [\ifmmode \check{C}\else \v{C}\fi{}. Brukner and A. Zeilinger, Phys. Rev. Lett. 83, 3354 (1999)]. This information quantity has basic significance and implications, and the present work is devoted to some further studies of it. We first introduce the Brukner-Zeilinger invariant information in the presence of conjugate symmetry or antisymmetry, which are motivated by considerations of fundamental issues concerning conjugate symmetry in quantum mechanics. Then we prove that both the Brukner-Zeilinger invariant information with conjugate symmetry and that with conjugate antisymmetry are convex in the quantum state, and we show that they constitute a natural decomposition of the Brukner-Zeilinger invariant information. We further relate them to the imaginarity (i.e., the usage of a complex number field) of quantum mechanics and evaluate their extreme values.
TL;DR: The principles of antisymmetry as basis for psychographic analysis of healthy and sick persons presented in this publication.
Abstract: The principles of antisymmetry as basis for psychographic analysis of healthy and sick persons presented in this publication.
01 Jan 2022
TL;DR: In this article , the authors give a full picture of the laterality (antisymmetry or bilateral asymmetry) in fish populations, based mainly on a series of field works.
Abstract: This chapter tries to give a full picture of the laterality (antisymmetry or bilateral asymmetry) in fish populations, based mainly on a series of our field works. It covers a story of discovery of the phenomenon together with its background, dynamics of the ratios of laterality (frequency of righty morphs) in fish populations, and the causation of the dynamics. Our field works in Lake Tanganyika, east Africa, and Lake Biwa, Japan, revealed that the laterality ratios changed periodically within 0.3 and 0.7 for many years in every population studied in both lakes. The driving force of the periodical change in the laterality ratios seems to be predator-prey interactions, specifically the predominance of corss-predation in every predation incident, which operates a negative frequency-dependent selection between predator and prey populations. The effects of the selection may involve related groups of fishes with similar life-form along the structure of food web in the fish community.
30 Jul 2022
TL;DR: In this article , the authors proposed a non-Hermitian optical structure in a cold Rubidium-87 ($^{87}$Rb) atomic ensemble, in which a lopsided optical diffraction grating can be realized just with the combination of single spatially periodic modulation and loop-phase.
Abstract: We propose a theoretical scheme in a cold Rubidium-87 ($^{87}$Rb) atomic ensemble with a non-Hermitian optical structure, in which a lopsided optical diffraction grating can be realized just with the combination of single spatially periodic modulation and loop-phase.~Parity-time ($\mathcal{PT}$) symmetric and parity-time antisymmetric ($\mathcal{APT}$) modulation can be switched by adjusting different relative phases of the applied beams. Both $\mathcal{PT}$ symmetry and $\mathcal{PT}$ antisymmetry in our system are robust to the amplitudes of coupling fields, which allows optical response to be modulated precisely without symmetry breaking. Our scheme shows some nontrivial optical properties, such as lopsided diffraction, single-order diffraction, asymmetric Dammam-like diffraction, etc. Our work will benefit the development of versatile non-Hermitian/asymmetric optical devices.
03 Mar 2022
TL;DR: In this article , a theoretical basis for the hypothesis of prohibition of some electron configurations in atoms and molecules presented by one of the authors earlier is considered and the existence of such prohibited configurations follows from the wave function antisymmetry.
Abstract: Possible theoretical basis for the hypothesis of prohibition of some electron configurations in atoms and molecules presented by one of the authors earlier is considered. Existence of such prohibited configurations follows from the wave function antisymmetry of atoms and molecules. Our hypothesis is as follows: the configurations, in which the potentials of any two electrons with the same spins are equal, are forbidden. If the hypothesis comes true, it will be possible to find the nodal surfaces of many-electron wave functions for atoms and molecules analytically a priori.