Main effects of the Earth's rotation on the stationary states of ultra-cold neutrons
arXiv:0708.3204 · doi:10.1016/j.physleta.2007.11.020
Abstract
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.
arXiv comment12 pages in standard LaTeX. v3: Former sect. 2 (derivation of the non-relativistic Hamiltonian) suppressed, new refs., interpretation of the energy shift added, and new redactional improvements, to meet the editorial demands. To appear in Physics Letters A
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- Quantum Interference Effects in Slowly Rotating NUT Space-time
- Quantum Interference Effects in Horava-Lifshitz Gravity
- Some remarks on quantum mechanics in a curved spacetime, especially for a Dirac particle
- Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld
- Should there be a spin-rotation coupling for a Dirac particle?