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Quest for time variation of Planck constant
- 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.
- Subjects :
- Physics
education.field_of_study
Field (physics)
Age of the universe
Population
General Physics and Astronomy
Fine-structure constant
Planck constant
01 natural sciences
Schrödinger equation
symbols.namesake
0103 physical sciences
Atom
symbols
Planck
010306 general physics
education
010303 astronomy & astrophysics
Mathematical physics
Subjects
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