Hellmann–Feynman theorem

theorem that relates the derivative of the total energy with respect to a parameter, to the expectation value of the derivative of the Hamiltonian with respect to that same parameter
Intangible theorem Q906809
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Hellmann–Feynman theorem

Summary

Hellmann–Feynman theorem is a theorem[1]. It draws 103 Wikipedia views per month (theorem category, ranking #188 of 1,306).[2]

Key Facts

  • Hellmann–Feynman theorem's instance of is recorded as theorem[3].
  • Hans Hellmann is named after Hellmann–Feynman theorem[4].
  • Richard Feynman is named after Hellmann–Feynman theorem[5].
  • Hellmann–Feynman theorem's part of is recorded as list of theorems[6].
  • Hellmann–Feynman theorem's Freebase ID is recorded as /m/06g7dd[7].
  • Hellmann–Feynman theorem's defining formula is recorded as \frac{\mathrm dE_\lambda}{\mathrm d\lambda}=\left\langle\psi_\lambda\left|\frac{\mathrm d\hat H_\lambda}{\mathrm d\lambda}\right|\psi_\lambda\right\rangle[8].
  • Hellmann–Feynman theorem's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Hellmann–Feynman theorem's Microsoft Academic ID is recorded as 163386847[10].
  • Hellmann–Feynman theorem's ScienceDirect topic ID is recorded as chemistry/hellmann-feynman-theorem[11].

Why It Matters

Hellmann–Feynman theorem draws 103 Wikipedia views per month (theorem category, ranking #188 of 1,306).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[12] It is known by 3 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Hellmann–Feynman theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/hellmann-feynman-theorem
MLA “Hellmann–Feynman theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hellmann-feynman-theorem.
BibTeX @misc{4ortxyz_hellmann-feynman-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hellmann–Feynman theorem}}, year = {2026}, url = {https://4ort.xyz/entity/hellmann-feynman-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hellmann–Feynman theorem — https://4ort.xyz/entity/hellmann-feynman-theorem (retrieved 2026-05-03)

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