Bond operators and Schwinger SU(3) bosons

M. Wagner

Antônio Sérgio Teixeira Pires

S. Chaturvedi, Narasimhaiengar Mukunda

The Schwinger oscillator operator representation of SU(3), studied in a previous paper from the representation theory point of view, is analysed to discuss the intimate relationships between standard oscillator coherent state systems and systems of SU(3) coherent states. Both SU(3) standard coherent states, based on choice of highest weight vector as fiducial vector, and certain other specific systems of generalised coherent states, are found to be\nrelevant. A complete analysis is presented, covering all the oscillator coherent states without exception, and amounting to SU(3) harmonic analysis of these states.\n\n

S. Chaturvedi, N. Mukunda

The Schwinger oscillator operator representation of SU(3), studied in a previous paper from the representation theory point of view, is analyzed to discuss the intimate relationships between standard oscillator coherent state systems and systems of SU(3) coherent states. Both SU(3) standard coherent states, based on choice of highest weight vector as fiducial vector, and certain other specific systems of generalized coherent states, are found to be relevant. A complete analysis is presented, covering all the oscillator coherent states without exception, and amounting to SU(3) harmonic analysis of these states.

Yinxiang Li, Bin Chen

We use the Schwinger-boson approach to study the anisotropy ferrimagnetic spin-(1/2,1) chain with bond alternation. Based on the effect of bond alternation δ , we obtain energy gap, free energy, and specific heat, respectively. The specific heat with larger bond alternation ( δ > 0.7) displays a peak at low temperature. Based on the effect of XXZ anisotropy parameter Δ , we present excited spectrums, free energy, and specific heat, respectively.

Giuseppe Mussardo