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Phase theory and critical exponents for the Tomonaga–Luttinger model with harmonic confinement

Phase theory and critical exponents for the Tomonaga–Luttinger model with harmonic confinement

A phase operator formulation for a recent model of interacting onedimensional fermions in a harmonic trap is developed.The resulting theory is similar to the corresponding approach for the Luttinger model with open boundary conditions (OBC).However, in place of the spatial coordinate z, a dimensionless variable u defined on the unit …