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Quest for time variation of Planck constant

Authors :
Emilio Fiordilino
Source :
The European Physical Journal Plus. 136
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

Recent observations suggest a time variation of the fine structure constant $$\alpha =e^2/\hbar c$$ on a time scale of the age of the Universe. We conjecture that the dependence is to be attributed to the Planck constant $$\hbar \rightarrow \hbar _0f(t)$$ , define the cosmological time $$\tau = \int _0^t f(t') \mathrm{d}t'$$ and derive a form of the Schrodinger equation which takes into account the variation of $$\hbar $$ . As a first result, the solution of the equation for an atom interacting with a long resonant laser field predicts a sizeable variation of the population of the atomic levels. As a second result, we find that the time dependence of the Planck parameter introduces a new form of chaotic behaviour which is not due to the initial conditions.

Details

ISSN :
21905444
Volume :
136
Database :
OpenAIRE
Journal :
The European Physical Journal Plus
Accession number :
edsair.doi...........d8c27a838546fb285fa7406627be46d8
Full Text :
https://doi.org/10.1140/epjp/s13360-020-01031-1