AI RESEARCH
Weak Adversarial Neural Pushforward Method for the Wigner Transport Equation
arXiv CS.LG
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ArXi:2604.08763v1 Announce Type: cross We extend the Weak Adversarial Neural Pushforward Method to the Wigner transport equation governing the phase-space dynamics of quantum systems. The central contribution is a structural observation: integrating the nonlocal pseudo-differential potential operator against plane-wave test functions produces a Dirac delta that exactly inverts the Fourier transform defining the Wigner potential kernel, reducing the operator to a pointwise finite difference of the potential at two shifted arguments.