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Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion

Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion

We present a method of simulating the Dirac equation in $3+1$ dimensions for a free spin-$1/2$ particle in a single trapped ion. The Dirac bispinor is represented by four ionic internal states, and position and momentum of the Dirac particle are associated with the respective ionic variables. We show also …