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selection rules in Weak Interaction and Conservation of Fermion Quantum Number

Journal of Modern Physics 2022年第5期13卷 700-706页

作者： Xinhua Ma Key Laboratory of Particle Astrophysics Institute of High Energy Physics Chinese Academy of Sciences Beijing China TIANFU Cosmic Ray Research Centre Chengdu China

Traditionally, in weak interaction, I3, Y and four flavour quantum numbers are not conserved but several empirical selection rules work well. Recently, it was found that, in weak interaction, there are three levels of conservation of additive quantum numbers, and fermion quantum number F is conserved in all kinds of interactions. It is known that weak interaction has three types: fermionic, pure hadronic and pure leptonic, corresponding to the first and the second level of conservation of additive quantum numbers respectively. It is demonstrated in this paper that the selection rules in all types of weak interaction can be interpreted by conservation of F, and the formula of relation between Q/e, F and F0 is more general than Gell-Mann-Nishijima formula. Description of weak interaction becomes simpler, If only we take Q, F0 and F, based on the conserved physical quantities.

关键词： Weak Interaction selection rules Fermion Quantum Number

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Electron Raman scattering in semiconductor quantum well wire of cylindrical ring geometry

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Chinese Physics B 2015年第11期24卷 442-447页

作者： Re.Betancourt-Riera Ri.Betancourt-Riera J.M.Nieto Jalil R.Riera Instituto Tecnol ógico de Hermosillo.Avenida Tecnol ógico S/N Col.Sahuaro Departamento de Investigaci ón en Física Universidad de Sonora Tecnol ógico de Monterrey-Campus Sonora Norte.Bulevar Enrique Mazón López No.965

We study the electron states and the differential cross section for an electron Raman scattering process in a semi- conductor quantum well wire of cylindrical ring geometry. The electron Raman scattering developed here can be used to provide direct information about the electron band structures of these confinement systems. We assume that the system grows in a GaAs/Al0.35Ga0.65As matrix. The system is modeled by considering T = 0 K and also a single parabolic con- duction band, which is split into a sub-band system due to the confinement. The emission spectra are discussed for different scattering configurations, and the selection rules for the processes are also studied. Singularities in the spectra are found and interpreted.

关键词： electron states Raman scattering selection rules quantum well wires

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Even-odd-dependent optical transitions of zigzag monolayer black phosphorus nanoribbons

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Science China(Physics,Mechanics & Astronomy) 2021年第1期64卷 91-101页

作者： Pu Liu XianZhe Zhu XiaoYing Zhou GuangHui Zhou Kai Chang Department of Physics Key Laboratory for Low-Dimensional Structures and Quantum Manipulation(Ministry of Education)Synergetic Innovation Center for Quantum Effects and Applications of HunanHunan Normal UniversityChangsha410081China SKLSM Institute of SemiconductorsChinese Academy of SciencesBeijing100083China

We analytically study the electronic structure and optical properties of zigzag-edged phosphorene nanoribbons(ZPNRs) using the tight-binding Hamiltonian and Kubo formula. By directly solving the discrete Schrodinger equation, we obtain the energy spectra and wavefunctions for N-ZPNR(where N is the number of transverse zigzag atomic chains) and classify the eigenstates according to the lattice symmetry. Then, we obtain the optical transition selection rule of ZPNRs on the basis of symmetry analysis and analytical expressions of optical transition matrix elements. Under incident light that is linearly polarized along the ribbon, we determine that the optical transition selection rule for N-ZPNR with even-or odd-N is qualitatively different. Specifically, for even-N ZPNRs, the inter-(intra-) band selection rule is ?n =odd(even) because the parity of the wavefunction corresponding to the n-th subband in the conduction(valence) band is(-1)~n[(-1)~((n+1))] owing to the presence of C(2x) symmetry. However, the optical transitions between any subbands are possible owing to the absence of C(2x) symmetry. Our results provide a further understanding on the electronic states and optical properties of ZPNRs, which are useful for explaining the optical experiment data on ZPNR samples.

关键词： zigzag-edged phosphorene nanoribbons band structure light absorption selection rules

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