Quest for time variation of Planck constant
| Autor: | Emilio Fiordilino |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
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 |
| Zdroj: | The European Physical Journal Plus. 136 |
| ISSN: | 2190-5444 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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