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Lorentz Invariant Berry Phase for a Perturbed Relativistic Four Dimensional Harmonic Oscillator |
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| Authors: | Yossi Bachar Rafael I. Arshansky Lawrence P. Horwitz Igal Aharonovich |
| Affiliation: | 1. Department of Physics, Bar Ilan University, Ramat Gan, Israel 2. Givat Zorfatit, Etzel 12/14, 9754, Jerusalem, Israel 3. School of Physics and Astronomy, Tel-Aviv University, Tel Aviv, Israel 4. Department of Physics, Ariel University in the Shomron, Ariel, Israel |
| Abstract: | We show the existence of Lorentz invariant Berry phases generated, in the Stueckelberg–Horwitz–Piron manifestly covariant quantum theory (SHP), by a perturbed four dimensional harmonic oscillator. These phases are associated with a fractional perturbation of the azimuthal symmetry of the oscillator. They are computed numerically by using time independent perturbation theory and the definition of the Berry phase generalized to the framework of SHP relativistic quantum theory. |
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