We had previously obtained analytical formulae for the dipole moments and angular momenta of rotating spherical bodies. The resulting formulae were applied to the Sun, the star 78 Virginis and the Earth. The agreement...We had previously obtained analytical formulae for the dipole moments and angular momenta of rotating spherical bodies. The resulting formulae were applied to the Sun, the star 78 Virginis and the Earth. The agreement of the theoretical formulae with the actual real situations is indeed remarkable. In this note we apply the same formulae to the electron and the proton, using the classical values of the radii, so no quantum mechanical treatment is considered.展开更多
The dipole moments, angular momenta and gyromagnetic ratios of the electron and the proton were obtained earlier. In this note, we derive the corresponding expressions for the neutron and the muon. This work relies on...The dipole moments, angular momenta and gyromagnetic ratios of the electron and the proton were obtained earlier. In this note, we derive the corresponding expressions for the neutron and the muon. This work relies on the results obtained earlier for the angular momenta and dipole moments of rotating spherical bodies.展开更多
We investigate the linear momentum density of light, which can be decomposed into spin and orbital parts, in the complex three-dimensional field distributions of tightly focused vortex segmented beams. The chosen angu...We investigate the linear momentum density of light, which can be decomposed into spin and orbital parts, in the complex three-dimensional field distributions of tightly focused vortex segmented beams. The chosen angular spectrum exhibits two spatially separated vortices of opposite charge and orthogonal circular polarization to generate phase vortices in a meridional plane of observation. In the vicinity of those vortices, regions of negative orbital linear momentum occur. Besides these phase vortices, the occurrence of transverse orbital angular momentum manifests in a vortex charge-dependent relative shift of the energy density and linear momentum density.展开更多
The spin-orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4fN-1 5d configuration of heavy lanthanide ions occupying a site with ligands forming an octahed...The spin-orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4fN-1 5d configuration of heavy lanthanide ions occupying a site with ligands forming an octahedron. This paper derives theoretical results for the energy structure by treating the t2 orbitals as quasi p orbitals and then using angular-momentum coupling techniques. An analytic expression for the electric dipole absorption line strengths between 4fN multiplets and 4fN- 1 5d states is given in terms of various angular-momentum quantum numbers and re-coupling coefficients. The result is then applied to interpret the excitation spectrum of Cs2NaYF6：Er3＋. Tbe high-spin and lowspin states of Cs2NaYF6：Er3＋ are discussed in terms of the wavefunctions obtained by using the developed theoretical model.展开更多
In the N=88,90 region,a strong negative drive of γ deformation is generatedby the second lowest positive signature vi<sub>13/2</sub> quasiparticle orbital.In contrast,thelowest positive-parity and negativ...In the N=88,90 region,a strong negative drive of γ deformation is generatedby the second lowest positive signature vi<sub>13/2</sub> quasiparticle orbital.In contrast,thelowest positive-parity and negative-parity orbitals in this region exhibit positive drivesin the γ deformation toward oblate shapes.Replacing one of these with the negativedrive orbital strengthens the collectivity for the side band configurations at very highspins.展开更多
文摘We had previously obtained analytical formulae for the dipole moments and angular momenta of rotating spherical bodies. The resulting formulae were applied to the Sun, the star 78 Virginis and the Earth. The agreement of the theoretical formulae with the actual real situations is indeed remarkable. In this note we apply the same formulae to the electron and the proton, using the classical values of the radii, so no quantum mechanical treatment is considered.
文摘The dipole moments, angular momenta and gyromagnetic ratios of the electron and the proton were obtained earlier. In this note, we derive the corresponding expressions for the neutron and the muon. This work relies on the results obtained earlier for the angular momenta and dipole moments of rotating spherical bodies.
文摘We investigate the linear momentum density of light, which can be decomposed into spin and orbital parts, in the complex three-dimensional field distributions of tightly focused vortex segmented beams. The chosen angular spectrum exhibits two spatially separated vortices of opposite charge and orthogonal circular polarization to generate phase vortices in a meridional plane of observation. In the vicinity of those vortices, regions of negative orbital linear momentum occur. Besides these phase vortices, the occurrence of transverse orbital angular momentum manifests in a vortex charge-dependent relative shift of the energy density and linear momentum density.
基金supported by the National Natural Science Foundation of China(Grant Nos 10874173 and 10774140)
文摘The spin-orbit interaction of the 5d electron needs to be taken into account to give the proper energy structure for the 4fN-1 5d configuration of heavy lanthanide ions occupying a site with ligands forming an octahedron. This paper derives theoretical results for the energy structure by treating the t2 orbitals as quasi p orbitals and then using angular-momentum coupling techniques. An analytic expression for the electric dipole absorption line strengths between 4fN multiplets and 4fN- 1 5d states is given in terms of various angular-momentum quantum numbers and re-coupling coefficients. The result is then applied to interpret the excitation spectrum of Cs2NaYF6：Er3＋. Tbe high-spin and lowspin states of Cs2NaYF6：Er3＋ are discussed in terms of the wavefunctions obtained by using the developed theoretical model.
基金The projecet supported by National Natural Science Foundation of ChinaResearch at the University of Tennessee is supported by the Department of Energy through Contract Number DE-AS05-76ERO-4936.
文摘In the N=88,90 region,a strong negative drive of γ deformation is generatedby the second lowest positive signature vi<sub>13/2</sub> quasiparticle orbital.In contrast,thelowest positive-parity and negative-parity orbitals in this region exhibit positive drivesin the γ deformation toward oblate shapes.Replacing one of these with the negativedrive orbital strengthens the collectivity for the side band configurations at very highspins.
