Evaluation of Density Matrix and Helmholtz Free Energy for Harmonic Oscillator Asymmetric Potential via Feynmans Approach

Figure 1

Plot of the canonical density matrix of a single particle for harmonic oscillator asymmetric potential system.

(a) Density Matrix, ,

(b) Density Matrix, ,

(c) Density Matrix, , ,

(d) Density Matrix, , ,

(e) Density Matrix, ,