Aharonov–Anandan quantum phases and Landau quantization associated with a magnetic quadrupole moment

Journal Article · Tue Dec 15 04:00:00 EST 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.09.027· OSTI ID:22560281

Fonseca, I. C.

The arising of geometric quantum phases in the wave function of a moving particle possessing a magnetic quadrupole moment is investigated. It is shown that an Aharonov–Anandan quantum phase (Aharonov and Anandan, 1987) can be obtained in the quantum dynamics of a moving particle with a magnetic quadrupole moment. In particular, it is obtained as an analogue of the scalar Aharonov–Bohm effect for a neutral particle (Anandan, 1989). Besides, by confining the quantum particle to a hard-wall confining potential, the dependence of the energy levels on the geometric quantum phase is discussed and, as a consequence, persistent currents can arise from this dependence. Finally, an analogue of the Landau quantization is discussed. -- Highlights: •Scalar Aharonov–Bohm effect for a particle possessing a magnetic quadrupole moment. •Aharonov–Anandan quantum phase for a particle with a magnetic quadrupole moment. •Dependence of the energy levels on the Aharonov–Anandan quantum phase. •Landau quantization associated with a particle possessing a magnetic quadrupole moment.

• OSTI ID: 22560281
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Journal Issue: Complete Vol. 363; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
ENERGY LEVELS
MAGNETIC MOMENTS
NEUTRAL PARTICLES
POTENTIALS
QUADRUPOLE MOMENTS
QUANTIZATION
SCALARS
WAVE FUNCTIONS