Pseudoparticle-operator description of an interacting Bose gas

Details Pseudoparticle-operator description of an interacting Bose gas Pseudoparticle-operator description of an interacting Bose gas

1994-06-08

arxiv.org/abs/cond-mat/9406044v1

Physics

Condensed Matter

37 pages, 6 figures (they can be obtained by ordinary mail), RevTeX 3.0, preprint UIUC

Scientific paper

10.1103/PhysRevB.50.14032

We write the Hamiltonian of the Bose gas with two-body repulsive $\delta$-function potential in a pseudoparticle operator basis which diagonalizes the problem via the Bethe ansatz. In this operator basis the original bosonic interactions are represented by zero-momentum forward-scattering interactions between Landau-liquid pseudoparticles. We find that this pseudoparticle operator algebra is complete: {\it all} the Hamiltonian eigenstates are generated by acting pseudoparticle operators on the system vacuum. It is shown that one boson of vanishing momentum and energy is a composite of a one-pseudoparticle excitation and a collective pseudoparticle excitation. These excitations have finite opposite momenta and cannot be decomposed. Our formalism enables us to calculate the various quantities which characterize the static and dynamic behavior of the system at low energies.

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