Advanced Quantum Mechanics Schwabl · Problem 11.4

Quantization of Relativistic Fields

Physics — Quantum Mechanics · helicity-eigenstates-dirac-equation

Problem

Determine the eigenstates of helicity with negative energy: (a) as in (11.5.7) by applying a Lorentz transformation to (11.5.4); (b) by solving the eigenvalue equation for the helicity operator Σ⋅k^\boldsymbol{\Sigma} \cdot \hat{\mathbf{k}} and taking the appropriate linear combination of the energy eigenstates (6.3.11b).

Browse the problem library