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Results tagged with fermions
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user 123870
Fermions are particles with an intrinsic angular momentum (i.e. spin) equal to a "half integer" number of fundamental units: $\frac{(2n+1)}{2} \hbar$ for integer $n$. Fermions are required to be in a quantum state that is globally anti-symmetric, which leads to the Pauli Exclusion Principle barring identical fermions from occupying the same quantum state.
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Deriving energy eigenstates of free Weyl field
I'm wondering if it's possible to derive energy eigenstates for a fermion field without guessing the anti-commutation relations from the start. I'm taking the Hamiltonian for a Weyl field $\psi$ to b …
- 395
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Deriving energy eigenstates of free Weyl field
The key is to use the phases of the spinor components as the canonical coordinates, as that provides a clean division into coordinates and momenta (versus above where both the real and imaginary parts …
- 395
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Stress-energy tensor for Dirac fields, and its dependence on connection
In the stress-energy tensor (SET) for free scalar and vector fields, any references to the connection $\Gamma^\lambda_{\mu\nu}$ in the kinetic terms appear to either be absent ($\nabla_\mu \phi = \par …
- 395
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Fock space with mixed anti-commutation/commutation relations?
Is there some reason these operators aren't suitable, other than the observation that all elementary particles are either fermions or bosons? …
- 395