Equation 68 · The Atlas That Refuses to Close
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Symbol hatmathbf x
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What the article says around this equation
The Newton–Wigner operator was not built for elegance; it was built to repair a specific, observable pathology in the naive Dirac position operator , the coordinate that appears literally in the Dirac equation. Because a free Dirac wavepacket generically mixes positive- and negative-energy plane-wave components, 's Heisenberg equation of motion picks up, alongside the ordinary uniform drift, an oscillating term with no classical counterpart: an angular frequency
Sources cited in the article section
- [3] On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit ↗
- [15] Quantum Simulation of the Dirac Equation ↗
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