Computing quantum mechanical integrals involving higher angular momentum increases computational complexity significantly.

the verdict

SUPPORTED

the evidence backs this

Recorded sources

3 sources for · 0 against

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Quantum chemical calculations involving higher angular momentum basis functions significantly increase computational complexity and resource demands, presenting notable challenges for algorithm design and hardware acceleration.

The analysis

The claim states that computing quantum mechanical integrals involving higher angular momentum increases computational complexity significantly. Papers [1], [4], and [10] explicitly discuss the challenges and computational intensity associated with high angular momentum (such as g-functions) in electron repulsion integrals, supporting the claim. No papers refute it.

Evidence for · 3

Calculation of quantum chemical two-electron integrals by applying compiler technology on GPU.

Recorded source metadata

G. Tornai, István Ladjánszki, Á. Rák, Gergely Kis, G. Cserey. Calculation of quantum chemical two-electron integrals by applying compiler technology on GPU.. 2019. https://doi.org/10.1021/acs.jctc.9b00560

The paper notes that computing integrals for higher angular momentum orbitals up to g requires specialized approaches and poses challenges for computational frameworks.

Source citation format

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More for · 2

Introducing GPU Acceleration into the Python-Based Simulations of Chemistry Framework.

Recorded source metadata

Li R, Sun Q, Zhang X, Chan GK. Introducing GPU Acceleration into the Python-Based Simulations of Chemistry Framework.. 2025. https://doi.org/10.1021/acs.jpca.4c05876

The study highlights the specific computational load of handling angular momentum up to g functions when evaluating two-electron repulsion integrals.

Source citation format

High-Performance, High-Angular-Momentum J Engine on Graphics Processing Units.

Recorded source metadata

Elise Palethorpe, G. Barca. High-Performance, High-Angular-Momentum J Engine on Graphics Processing Units.. 2025. https://doi.org/10.1021/acs.jctc.5c00775

The article explicitly states that the efficient evaluation of electron repulsion integrals involving high-angular-momentum Gaussian basis functions is computationally challenging and causes significant performance bottlenecks.

Source citation format

The paper trail · every fact has a biography

first checked01 Aug 2026

judged → SUPPORTED · 8601 Aug 2026

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