Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves

Details Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves

2012-04-02

arxiv.org/abs/1204.0337v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, LaTex

Scientific paper

We consider the dynamics of a charged particle interacting with background electromagnetic field under the influence of linearized gravitational waves in the long wave-length and low-velocity limit. Following the prescription in \cite{speli}, the system is quantized and the Hamiltonian is then solved by using standard algebraic iterative methods. The solution is in conformity with the classical analysis and shows the possibility of tuning the frequency by changing the magnetic field to set up resonance.

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