PSEUDOPARTICLE-OPERATOR DESCRIPTION OF AN INTERACTING BOSONIC GAS

被引:21
作者
CASTRO NETO, AH
LIN, HQ
CHEN, YH
CARMELO, JMP
机构
[1] CSIC, INST CIENCIA MAT, E-28049 MADRID, SPAIN
[2] PRINCETON UNIV, JOSEPH HENRY LABS PHYS, PRINCETON, NJ 08544 USA
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 19期
关键词
D O I
10.1103/PhysRevB.50.14032
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We write the Hamiltonian of the Bose gas with two-body repulsive δ-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: 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 that characterize the static and dynamic behavior of the system at low energies. © 1994 The American Physical Society.
引用
收藏
页码:14032 / 14047
页数:16
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