1,061 research outputs found
Lorentz violation and Condensed Matter Physics
We present heuristic arguments that hint to a possible connection of Lorentz
violation with observed phenomenon in condensed matter physics. Various
references from condensed matter literature are cited where operators in the
Standard Model Extension appear to be enhanced. Furthermore, we consider the
Levy-Leblond equation, which is the analogue of Dirac equation in
non-relativistic quantum mechanics. We show that we can obtain the Levy-Leblond
equation by adding enhanced Lorentz violating operators to the Dirac equation.
Based on these observations, we propose that Lorentz violation exhibits itself
in non-relativistic quantum mechanics.Comment: 11 pages, 1 Tabl
The Hydrogen Atom and the Equivalent Form of Levy-Leblond Equation
We discuss the equivalent form of Levy-Leblond equation [1, 2] such that the
nilpotent matrices are two dimensional. We show that this equation can be
obtained in the non-relativistic limit of the (2+1) dimensional Dirac equation.
Furthermore, we analyze the case with four dimensional matrices and propose a
Hamiltonian for the equation in (3+1) dimensions and solve it for a Coulomb
potential. We show that the quantized energy levels for the hydrogen atom are
obtained and the result is consistent with non-relativistic quantum mechanics.Comment: 10 pages, Accepted by Chinese Physics Letter
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