The Non-Equilibrium Harmonic Solution

As projected, one is starting from the conditioned probability density expression in the path integral form (5.328) with (5.348) (Kleinert, 2001)  

In order to consider also the spectral translation of the Fokker-P eigenvalues respecting the Schrbdinger ones, the previous path integral will be reconsidered by introducing the transformation of the potential  

Quantum Nanochemistty— Volume II Quantum Atoms and Periodicity 

Starting from this form one will further run the Onsanger-Matchlup harmonic potential (equivalent with the Brownian movement) form  

With the quantum statistics to Fokker-Planck correspondences (as of Section 2.3)  

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