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Equations of motion follow from the Dirac\u2013Frenkel variational principle, with the norm\u00a0and energy conserved by a Crank\u2013Nicolson propagator. On a two-dimensional coupled multi-well potential with complex dynamics, even the bare PU representation (no enrichment) achieves high fidelity, demonstrating that the PU framework itself is an effective basis for quantum dynamics. Adding local enrichment functions dramatically reduces the required node density, but the choice of enrichment becomes critical. In a variant based on normal modes (NM-PUQ), enrichment functions are chosen according to the Hessian at each node center: harmonic-oscillator eigenstates along confining directions and standing waves along soft directions. Both unenriched PUQ and NM-PUQ achieve near-reference fidelity with roughly 4\u00d7 fewer degrees of freedom than a global plane wave representation and about half those of a low-rank SVD contraction. Because PUQ basis functions have compact support, all operator matrices are sparse and scale linearly with the number of nodes.<\/jats:p>","DOI":"10.1063\/5.0329571","type":"journal-article","created":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T11:25:11Z","timestamp":1776857111000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["The partition-of-unity quantum (PUQ) method for wavepacket dynamics"],"prefix":"10.1063","volume":"164","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-1479-7511","authenticated-orcid":false,"given":"Drew A.","family":"McCormack","sequence":"first","affiliation":[{"name":"Independent Researcher , Amstelveen,","place":["The Netherlands"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2026,4,22]]},"reference":[{"key":"2026042207250901900_c1","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1016\/0021-9991(82)90091-2","volume":"47","year":"1982","journal-title":"J.\u00a0Comput. 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