2015/06/17 by Fen Zuo, Zuo, Fen, Yi-hong Gao +1
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · Materials Science · #Advanced Thermodynamics and Statistical Mechanics #Protein Structure and Dynamics #Material Dynamics and Properties
paper · pdf · doi:10.48550/arxiv.1506.05189
We review one dimensional matrix theory and its variations, collective field theory and quantum phase space description. In the planar limit, these theories become classical and can be easily analyzed. With these descriptions, one dimensional interacting many-body system can be solved exactly when the particle number goes to infinity. As an example, bosonic and two-component fermionic systems with a δ-function interaction are analyzed in detail.