Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hydrogen Atom and Time Variation of Fine-Structure Constant   In this paper, 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. This prediction of fine-structure constant is
consistent with the presently available observation data. For confirming it
further, experiments/observations are required.

9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
1
The categories of this paper are: cs