The energy spectra for Dirac particles in polar coordinates depend on both radial quantum number n ≥ 0 and angular quantum number m ≠ 0 after correcting minor errors in the original derivation.
Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study the non-relativistic limit of a paradigmatic model in Relativistic Quantum Mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a novel kind of Zitterbewegung which persists in this non-relativistic regime, and leads to an observable deformation of the particle orbit. This effect can be interpreted in terms of a Ramsey Interferometric phenomenon, allowing an insightful connection between Relativistic Quantum Mechanics and Quantum Optics. Furthermore, subsequent corrections to the non-relativistic limit, which account for the usual spin-orbit Zitterbewegung, can be neatly understood in terms of a Mach-Zehnder interferometer.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"
The energy spectra for Dirac particles in polar coordinates depend on both radial quantum number n ≥ 0 and angular quantum number m ≠ 0 after correcting minor errors in the original derivation.