2021/10/18 by Srishty Aggarwal, Aggarwal, Srishty, Banibrata Mukhopadhyay +3
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Astrophysical Phenomena (astro-ph.HE) #Magnetic confinement fusion research #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.2110.09543
openalex publication_date 2021/10/18 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We investigate the two-dimensional motion of relativistic cold electrons in\nthe presence of `strictly' spatially varying magnetic fields satisfying,\nhowever, no magnetic monopole condition. We find that the degeneracy of Landau\nlevels, which arises in the case of the constant magnetic field, lifts out when\nthe field is variable and the energy levels of spin-up and spin-down electrons\nalign in an interesting way depending on the nature of change of field. Also\nthe varying magnetic field splits Landau levels of electrons with zero angular\nmomentum from positive angular momentum, unlike the constant field which only\ncan split the levels between positive and negative angular momenta. Exploring\nLandau quantization in non-uniform magnetic fields is a unique venture on its\nown and has interdisciplinary implications in the fields ranging from condensed\nmatter to astrophysics to quantum information. As examples, we show magnetized\nwhite dwarfs, with varying magnetic fields, involved simultaneously with\nLorentz force and Landau quantization affecting the underlying degenerate\nelectron gas, exhibiting a significant violation of the Chandrasekhar\nmass-limit; and an increase in quantum speed of electrons in the presence of a\nspatially growing magnetic field.\n