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Acoustic versus electromagnetic field theory: scalar, vector, spinor representations and the emergence of acoustic spin

Acoustic versus electromagnetic field theory: scalar, vector, spinor representations and the emergence of acoustic spin

Abstract We construct a novel Lagrangian representation of acoustic field theory that describes the local vector properties of longitudinal (curl-free) acoustic fields. In particular, this approach accounts for the recently-discovered nonzero spin angular momentum density in inhomogeneous sound fields in fluids or gases. The traditional acoustic Lagrangian representation with a …