The geometric phase of a relativistically covariant four dimensional harmonic oscillator

8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Bachar, Y.^1 ; Arshansky, R.I.^2 ; Horwitz, L.P.^1,3,4 ; Aharonovich, I.^1

Department of Physics, Bar Ilan Univeristy, Israel^1

Givat Zorfatit, Etzel 12/14, Jerusalem 9754, Israel^2

School of Physics and Astronomy, Tel-Aviv University, Israel^3

Department of Physics, Ariel University, Israel^4

关键词: Azimuthal symmetries;    Covariant;    Geometric phase;    Harmonic oscillators;    Relativistic oscillators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/437/1/012022/pdf
DOI  :  10.1088/1742-6596/437/1/012022

来源: IOP

【 摘 要 】

We show that there is nontrivial Berry relativistically covariant phase generated by a perturbed relativistic oscillator. This phase is associated with a fractional perturbation of the azimuthal symmetry of the oscillator.