dorsal/arxiv
View SchemaSpin-Dependent Quantized Magnetic Flux Through The Electronic Orbits of Dirac Hydrogen Atom
| Authors | M. Saglam, B. Boyacioglu, Z. Saglam, O. Yilmaz, K. K. Wan |
|---|---|
| Categories | |
| ArXiv ID | physics/0608165 |
| URL | https://arxiv.org/abs/physics/0608165 |
Abstract
We investigate the quantized magnetic flux through the electronic orbits of Dirac hydrogen atom in the absence of an external magnetic field. The sources of the magnetic fields are taken to be that of proton's magnetic moment $\mu _{p}$ and electron's magnetic moment $\mu_{e}$ (or $\mu_{j}$) which has two components namely the orbital part $\mu_{l}$ and the spinning part $\mu_{s}$ >.We show that the quantized magnetic fluxes through the electronic orbits corresponding to the ($n,l=n-1,m_{j}$) eigenstates of Dirac hydrogen atom take the forms: $\Phi (n,l,m_{j})=[ n-l-m_{j}] \Phi_{0}$, where $\Phi _{0}=\frac{h}{| e|}$ is the flux quanta. The application of the present result to the selection rules for the optical transitions of hydrogen atom gives access to the spin flip-floppings. The present result is believed to serve a significant help for understanding the recent observations of spin relaxation in excitonic transitions (such as 1s -> 2p or 2p -> 3d) in nanostructures.
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"abstract": "We investigate the quantized magnetic flux through the electronic orbits of\nDirac hydrogen atom in the absence of an external magnetic field. The sources\nof the magnetic fields are taken to be that of proton\u0027s magnetic moment $\\mu\n_{p}$ and electron\u0027s magnetic moment $\\mu_{e}$ (or $\\mu_{j}$) which has two\ncomponents namely the orbital part $\\mu_{l}$ and the spinning part $\\mu_{s}$\n\u003e.We show that the quantized magnetic fluxes through the electronic orbits\ncorresponding to the ($n,l=n-1,m_{j}$) eigenstates of Dirac hydrogen atom take\nthe forms: $\\Phi (n,l,m_{j})=[ n-l-m_{j}] \\Phi_{0}$, where $\\Phi\n_{0}=\\frac{h}{| e|}$ is the flux quanta. The application of the present result\nto the selection rules for the optical transitions of hydrogen atom gives\naccess to the spin flip-floppings. The present result is believed to serve a\nsignificant help for understanding the recent observations of spin relaxation\nin excitonic transitions (such as 1s -\u003e 2p or 2p -\u003e 3d) in nanostructures.",
"arxiv_id": "physics/0608165",
"authors": [
"M. Saglam",
"B. Boyacioglu",
"Z. Saglam",
"O. Yilmaz",
"K. K. Wan"
],
"categories": [
"physics.atom-ph"
],
"title": "Spin-Dependent Quantized Magnetic Flux Through The Electronic Orbits of Dirac Hydrogen Atom",
"url": "https://arxiv.org/abs/physics/0608165"
},
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