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In this article, we continue to investigate the application of ProbabilityBracket Notation (PBN). We show that, under Special Wick Rotation (caused byimaginary-time rotation), the Schrodinger equation of a conservative system andits path integral in Dirac rotation are simultaneously shifted to the masterequation and its Euclidean path integral of an induced micro diffusion in PBN.Moreover, by extending to General Wick Rotation and using the anti-Hermitianwave-number operator, we execute the path integral in Dirac notationside-by-side with the Euclidean path integral in PBN, and derive the EuclideanLagrangian of induced diffusions and Smoluchowski equation.

From Dirac Notation to Probability Bracket Notation: Time Evolution and Path Integral under Wick Rotations