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Particle-hole symmetry in 2nd quantization

This is a good question that I have also had, so I'm answering this even though it is two years old! It looks like your definitions are all fine, but I would use \begin{equation} \hat{\mathcal{P}}\...
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How does the wavefunction of an antiparticle differ from that of the particle?

An antiparticle is a separate species and a separate particle. It has its own dimensions in the configuration space. Suppose we have an electron and a positron. Denote electron's position as $\vec x_\...
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Could the matter-antimatter symmetry be local rather than universal?

I touched on this in an answer I wrote in the Astronomy SE. The brief answer is there's no theoretical reason why it can't be local, but it's observationally excluded: At some level the idea that ...
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Could the matter-antimatter symmetry be local rather than universal?

The Alpha Magnetic Spectrometer experiment, installed on the International Space Station, is designed to study antimatter before they have a chance to interact with the Earth's atmosphere or deflect ...
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