Real-space diffusion theory from quantum mechanics using analytic continuation

We show that a physical correspondence between Brownian motion and quantum mechanics can be established by formal analytic continuation if Wick rotation (t→it) is replaced by the mirror symmetric, complex conjugate time transformation t→±it. Invariance of the square modulus of the wave function unde...

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Bibliographic Details
Main Authors: Leonardo Di G. Sigalotti, Otto Rendón, José-Rubén Luévano
Format: Article
Language:English
Published: Elsevier 2024-10-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024148980