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arXiv: cs.AI preprintsInternational6 November 2026

Equivariant Deep Learning in Direct-Product Space for Electronic-Structure Hamiltonian Prediction

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arXiv:2611.07695v1 Announce Type: cross Abstract: Most existing equivariant architectures for Hamiltonian prediction propagate features in direct-sum spaces of irreducible spherical tensors, whereas the target Hamiltonian is naturally an operator block in a direct-product representation over local orbital and spin bases. This representation mismatch fragments contiguous Hamiltonian blocks, obscures direct manipulation of orbital couplings, and organizes features into irregular angular-momentum components that require numerous transformations and are poorly aligned with efficient hardware execu
Source: arXiv: cs.AI preprints

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