Hamiltonian function

function of generalized positions and momenta in Hamiltonian mechanics
Thing general Q360356
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Hamiltonian function

Summary

Hamiltonian function ranks in the top 2% of general entities by monthly Wikipedia readership (9 views/month).[1]

Key Facts

  • William Rowan Hamilton is named after Hamiltonian function[2].
  • Hamiltonian function's GND ID is recorded as 4323257-7[3].
  • Hamiltonian function's subclass of is recorded as physical quantity[4].
  • Hamiltonian function's subclass of is recorded as energy[5].
  • Hamiltonian function's described by source is recorded as ISO 80000-4:2006 Quantities and units—Part 4: Mechanics[6].
  • Hamiltonian function's Encyclopædia Britannica Online ID is recorded as science/Hamiltonian-function[7].
  • Hamiltonian function's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/hamiltonian[8].
  • Hamiltonian function's different from is recorded as Hamiltonian[9].
  • Hamiltonian function's defining formula is recorded as H = \sum p_i \dot{q}_i - L[10].
  • Hamiltonian function's Google Knowledge Graph ID is recorded as /g/1pv10wzp[11].
  • Hamiltonian function's ISQ dimension is recorded as \mathsf{L}^2 \mathsf{M} \mathsf{T}^{-2}[12].
  • Hamiltonian function's World of Physics ID is recorded as Hamiltonian[13].
  • Hamiltonian function's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Hamiltonian function's in defining formula is recorded as H[15].
  • Hamiltonian function's in defining formula is recorded as p_i[16].
  • Hamiltonian function's in defining formula is recorded as \dot{q}_i[17].
  • Hamiltonian function's in defining formula is recorded as L[18].
  • Hamiltonian function's Online PWN Encyclopedia ID is recorded as 3909791[19].
  • Hamiltonian function's Wolfram Language quantity ID is recorded as HamiltonianFunction[20].
  • Hamiltonian function's quantity symbol is recorded as H[21].
  • Hamiltonian function's recommended unit of measurement is recorded as joule[22].
  • Hamiltonian function's IEV number is recorded as 113-03-78[23].
  • Hamiltonian function's ScienceDirect topic ID is recorded as physics-and-astronomy/hamiltonian-function[24].
  • Hamiltonian function's ScienceDirect topic ID is recorded as mathematics/hamiltonian-function[25].
  • Hamiltonian function's ScienceDirect topic ID is recorded as engineering/hamiltonian-function[26].

Why It Matters

Hamiltonian function ranks in the top 2% of general entities by monthly Wikipedia readership (9 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[27] It is known by 9 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . ISO 80000-4:2006 Quantities and units—Part 4: Mechanics. wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . ISO 80000-4:2006 Quantities and units—Part 4: Mechanics. wikidata.org.
  21. [22] . ISO 80000-4:2006 Quantities and units—Part 4: Mechanics. wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). Hamiltonian function. Retrieved April 10, 2026, from https://4ort.xyz/entity/hamiltonian-function
MLA “Hamiltonian function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/hamiltonian-function.
BibTeX @misc{4ortxyz_hamiltonian-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hamiltonian function}}, year = {2026}, url = {https://4ort.xyz/entity/hamiltonian-function}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hamiltonian function — https://4ort.xyz/entity/hamiltonian-function (retrieved 2026-04-10)

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