Weak Adversarial Neural Pushforward Method for the Wigner Transport Equation
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. This holds in arbitrary dimension, requires no truncation of the Moyal series, and treats the potential as a black-box function oracle with no derivative information. To handle the negativity of the...
| Authors | Andrew Qing He, Wei Cai, Sihong Shao |
|---|---|
| Primary category | quant-ph |
| Published | 9 April 2026 |
| Last updated at source | 9 July 2026 |
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