A geometrical quantum phase in Newtonian gravity |
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| Affiliation: | 1. Dipartimento di Scienze Agrarie, Alimentari e Forestali, Università di Palermo, Viale delle Scienze, Palermo 90128, Italy;2. Departament de Física, Universitat Autònoma de Barcelona, Bellaterra, Catalonia, Spain;3. Institut d’Estudis Catalans, Carme 47, Barcelona, Catalonia 08001, Spain |
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| Abstract: | The quantum mechanical behaviour of a particle moving in a Newtonian potential is investigated. It is found that the scalar potential can give rise to interference effects for simply connected regions in which the gravitational force on the particle vanishes. A matter wave interferometry experiment is proposed to verify the existence of a geometrical quantum phase, which can be used to explicitly test the Dirichlet boundary conditions in Newtonian gravity. |
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