Eigenstates of Paraparticle Creation Operators

TL;DR

This paper constructs eigenstates of parabose and parafermi creation operators, explores their properties in the Dirac contour representation, and extends to order p=2, providing resolutions of unity.

Contribution

It introduces explicit constructions of eigenstates for parabose and parafermi operators, including conserved-charge cases, and derives their contour-based resolutions of unity.

Findings

Eigenstates of parabose and parafermi creation operators are explicitly constructed.

In the Dirac contour representation, parabose eigenstates relate to dual vectors of coherent states.

Resolutions of unity for these eigenstates are derived, including for order p=2.

Abstract

Eigenstates of the parabose and parafermi creation operators are constructed. In the Dirac contour representation, the parabose eigenstates correspond to the dual vectors of the parabose coherent states. In order $p=2$, conserved-charge parabose creation operator eigenstates are also constructed. The contour forms of the associated resolutions of unity are obtained.