Quest for time variation of Planck constant
A new time standard and parametric chaos
Dipartimento di Fisica e Chimica - Emilio Segré, Università degli Studi di Palermo, Via Archirafi 36, 90123, Palermo, Italy
Accepted: 16 December 2020
Published online: 7 January 2021
Recent observations suggest a time variation of the fine structure constant on a time scale of the age of the Universe. We conjecture that the dependence is to be attributed to the Planck constant , define the cosmological time and derive a form of the Schrödinger equation which takes into account the variation of . 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.
Key words: Fundamental physical constants / Laser-driven atoms / Chaos
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021