%0 Generic %1 Yan2010 %A Yan, Mu-Lin %D 2010 %K cosmology fine-structure-constant physics %T Hydrogen Atom in de Sitter Special Relativity and Time Variation of Fine-Structure Constant %U http://arxiv.org/abs/1004.3023 %X We have solved the de Sitter special relativistic ($SR_cR$-) Dirac equation of hydrogen in the earth-QSO(quasar) framework reference by means of the adiabatic approach. The aspects of geometry effects of de Sitter space-time described by Beltrami metric are explored and taken into account. It is found that the $SR_cR$-Dirac equation of hydrogen is a time dependent quantum Hamiltonian system. We provide an explicit calculation to justify the adiabatic approach in dealing with this time-dependent system. Since the radius of de Sitter sphere $R$ is cosmologically large, the evolution of the system is very slow so that the adiabatic approximation legitimately works with high accuracy. We conclude that the electromagnetic fine-structure constant, the electron mass and the Planck constant are time variations. The prediction of fine-structure constant is consistent with the presently available observation data. For confirming it further, experiments/observations are required.

@misc{Yan2010, abstract = { We have solved the de Sitter special relativistic ($\mathcal{SR}_{cR}$-) Dirac equation of hydrogen in the earth-QSO(quasar) framework reference by means of the adiabatic approach. The aspects of geometry effects of de Sitter space-time described by Beltrami metric are explored and taken into account. It is found that the $\mathcal{SR}_{cR}$-Dirac equation of hydrogen is a time dependent quantum Hamiltonian system. We provide an explicit calculation to justify the adiabatic approach in dealing with this time-dependent system. Since the radius of de Sitter sphere $R$ is cosmologically large, the evolution of the system is very slow so that the adiabatic approximation legitimately works with high accuracy. We conclude that the electromagnetic fine-structure constant, the electron mass and the Planck constant are time variations. The prediction of fine-structure constant is consistent with the presently available observation data. For confirming it further, experiments/observations are required. }, added-at = {2010-04-20T17:33:39.000+0200}, author = {Yan, Mu-Lin}, biburl = {https://www.bibsonomy.org/bibtex/230a2b758989897e101b79750b9ac9e44/michael.sherbon}, description = {Hydrogen Atom in de Sitter Special Relativity and Time Variation of Fine-Structure Constant}, interhash = {fa29169ed434d6fb8a7d616534afc1de}, intrahash = {30a2b758989897e101b79750b9ac9e44}, keywords = {cosmology fine-structure-constant physics}, note = {cite arxiv:1004.3023 Comment: 35 pages, 4 figures}, timestamp = {2010-04-20T17:33:39.000+0200}, title = {Hydrogen Atom in de Sitter Special Relativity and Time Variation of Fine-Structure Constant}, url = {http://arxiv.org/abs/1004.3023}, year = 2010 }