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Researchers use generative modeling to solve quantum dynamics via score matching

Researchers have developed a novel method to solve the time-dependent Schrödinger equation by learning the score function on Bohmian trajectories. This approach utilizes a neural network to parametrize the score and minimizes a self-consistent Fisher divergence, effectively recasting real-time quantum dynamics as a score-driven normalizing flow. The framework has been demonstrated on wavepacket splitting and anharmonic vibrations, potentially integrating quantum mechanics with modern generative modeling tools. AI

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IMPACT Integrates generative modeling techniques with quantum dynamics, potentially accelerating research in quantum physics.

RANK_REASON This is a research paper detailing a novel method for solving the time-dependent Schrödinger equation using score matching on Bohmian trajectories.

Read on arXiv cs.LG →

COVERAGE [3]

  1. arXiv cs.LG TIER_1 · Lei Wang ·

    Quantum Dynamics via Score Matching on Bohmian Trajectories

    arXiv:2604.25137v1 Announce Type: cross Abstract: We solve the time-dependent Schr\"odinger equation by learning the score function, the gradient of the log-probability density, on Bohmian trajectories. In Bohm's formulation of quantum mechanics, particles follow deterministic pa…

  2. arXiv cs.LG TIER_1 · Lei Wang ·

    Quantum Dynamics via Score Matching on Bohmian Trajectories

    We solve the time-dependent Schrödinger equation by learning the score function, the gradient of the log-probability density, on Bohmian trajectories. In Bohm's formulation of quantum mechanics, particles follow deterministic paths under the classical potential supplemented by a …

  3. Hugging Face Daily Papers TIER_1 ·

    Quantum Dynamics via Score Matching on Bohmian Trajectories

    We solve the time-dependent Schrödinger equation by learning the score function, the gradient of the log-probability density, on Bohmian trajectories. In Bohm's formulation of quantum mechanics, particles follow deterministic paths under the classical potential supplemented by a …