The geometric phase of a relativistically covariant four dimensional harmonic oscillator

Y. Bachar; R. I. Arshansky; L. P. Horwitz; I. Aharonovich

doi:10.1088/1742-6596/437/1/012022

The geometric phase of a relativistically covariant four dimensional harmonic oscillator

Y. Bachar
, R. I. Arshansky
, L. P. Horwitz
, I. Aharonovich

Department of Physics - at Bar-Ilan University

Givat Zorfatit
Tel Aviv University
Ariel University

Research output: Contribution to journal › Conference article › peer-review

Abstract

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.

Original language	English
Article number	012022
Journal	Journal of Physics: Conference Series
Volume	437
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/437/1/012022
State	Published - 2013
Event	8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2012 - Florence, Italy Duration: 29 May 2012 → 1 Jun 2012

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10.1088/1742-6596/437/1/012022

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title = "The geometric phase of a relativistically covariant four dimensional harmonic oscillator",

abstract = "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.",

author = "Y. Bachar and Arshansky, \{R. I.\} and Horwitz, \{L. P.\} and I. Aharonovich",

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AU - Arshansky, R. I.

AU - Horwitz, L. P.

AU - Aharonovich, I.

PY - 2013

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84877325939

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SN - 1742-6588

VL - 437

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012022

T2 - 8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2012

Y2 - 29 May 2012 through 1 June 2012

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The geometric phase of a relativistically covariant four dimensional harmonic oscillator

Abstract

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