Main effects of the Earth's rotation on the stationary states of ultra-cold neutrons

Details Main effects of the Earth's rotation on the stationary states of ultra-cold neutrons Main effects of the Earth's rotation on the stationary states of ultra-cold neutrons

2007-08-23

arxiv.org/abs/0708.3204v3

Phys. Lett. A 372 (2008) 2196-2200

Physics

Quantum Physics

12 pages in standard LaTeX. v3: Former sect. 2 (derivation of the non-relativistic Hamiltonian) suppressed, new refs., interpr

Scientific paper

10.1016/j.physleta.2007.11.020

The relativistic corrections in the Hamiltonian for a particle in a uniformly rotating frame are discussed. They are shown to be negligible in the case of ultra-cold neutrons (UCN) in the Earth's gravity. The effect, on the energy levels of UCN, of the main term due to the Earth's rotation, i.e. the angular-momentum term, is calculated. The energy shift is found proportional to the energy level itself.

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