TY - JOUR
T1 - Lorentz Invariant Berry Phase for a Perturbed Relativistic Four Dimensional Harmonic Oscillator
AU - Bachar, Yossi
AU - Arshansky, Rafael I.
AU - Horwitz, Lawrence P.
AU - Aharonovich, Igal
N1 - Publisher Copyright:
© 2014, Springer Science+Business Media New York.
PY - 2014/11
Y1 - 2014/11
N2 - 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.
AB - 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.
KW - Covariant 4D oscillator
KW - Geometric phase
KW - Induced representation
KW - Relativistic quantum mechanics
KW - Stueckelberg theory
UR - http://www.scopus.com/inward/record.url?scp=84920180717&partnerID=8YFLogxK
U2 - 10.1007/s10701-014-9834-9
DO - 10.1007/s10701-014-9834-9
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AN - SCOPUS:84920180717
SN - 0015-9018
VL - 44
SP - 1156
EP - 1167
JO - Foundations of Physics
JF - Foundations of Physics
IS - 11
ER -