Abstract
We investigate the analogy between magnetism and rotation in relativistic theory. In nonrelativistic theory, the exact correspondence between magnetism and rotation is established in the presence of an external trapping potential. Based on this, we analyze relativistic rotation under external trapping potentials. A Landau-like quantization is obtained by considering an energy-dependent potential.
Highlights
IntroductionA response to magnetism is one of the most significant subjects. One ubiquitous phenomenon induced by external magnetic backgrounds is the Landau quantization
In quantum physics, a response to magnetism is one of the most significant subjects
Rotation has similar effects to magnetism, and so they share many common phenomena: The quantum Hall effect is induced by rotation instead of an external magnetic field [5]
Summary
A response to magnetism is one of the most significant subjects. One ubiquitous phenomenon induced by external magnetic backgrounds is the Landau quantization. For example, the quantum Hall effect is essentially described by the Landau levels [1]. In relativistic theory, such as quantum chromodynamics, an external magnetic field enhances a fermion-antifermion condensate and generates a dynamical fermion mass, which is called the magnetic catalysis [2,3]. By rotating an atomic gas in a harmonic trap very rapidly, we can experimentally realize this correspondence [17,18,19] If this correspondence is achieved, the Landau quantization and other magnetic phenomena, such as quantum Hall effect, are expected to be observable in rotating media. We analyze rotating systems with external trapping potentials in relativistic theory and discuss the quantization of the energy spectrum
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
