The nonrelativistic limit of the Majorana equation and its simulation in trapped ions

Details The nonrelativistic limit of the Majorana equation and its simulation in trapped ions The nonrelativistic limit of the Majorana equation and its simulation in trapped ions

2011-09-05

arxiv.org/abs/1109.0957v2

Phys. Scr. T147, 014017 (2012)

Physics

Quantum Physics

7 pages, 1 figure. Proceedings of 18th Central European Workshop on Quantum Optics (CEWQO 2011), Madrid, Spain

Scientific paper

We analyze the Majorana equation in the limit where the particle is at rest. We show that several counterintuitive features, absent in the rest limit of the Dirac equation, do appear. Among them, Dirac-like positive energy solutions that turn into negative energy ones by free evolution, or nonstandard oscillations and interference between real and imaginary spinor components for complex solutions. We also study the ultrarelativistic limit, showing that the Majorana and Dirac equations mutually converge. Furthermore, we propose a physical implementation in trapped ions.

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