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Zur Quantenmechanik

Born, M., & Jordan, P. (1925). Zur Quantenmechanik. Zeitschrift für Physik, 858-888.

Type
Journal article
Intellectual base
Primary research
Year
1925
Pages
858-888
DOI
10.1007/bf01328531
DOI registrant
Springer Nature
Link
https://doi.org/10.1007/BF01328531
Cited from
physics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

  • Conjugate Variables
    • or equivalently operators on a Hilbert space whose commutator is the canonical pairing — a nonzero central element

      This sourceThe matrix-mechanics paper that first writes the commutation relation pq − qp = (ℏ/i)1 as the defining algebraic property of quantum-mechanical operators — the correct source for the [q,p]=iℏ 'canonical pairing / nonzero central element' claim. RE-SOURCED from the original 'born-1925' key, which pointed to Born's 1926 collision-process paper (Z. Physik 37, 863 — the Born-rule paper), which does NOT establish the commutation relations and was mis-dated 1925. DOI verified.

      Supported in partVerified against the publisher's abstract

      The abstract shows a matrix-mechanics paper built on Heisenberg's quantum condition, so it backs the operator/commutation frame but states neither ω = dq ∧ dp nor a commutator as a nonzero central element.

      “der Beweis geführt, daß auf Grund der Heisenbergschen Quantenbedingung der Energiesatz und die Bohrsche Frequenzbedingung aus den mechanischen Gleichungen folgen”

      From the publisher's abstract.

      Read by an automated reader; not a human review. How support was checked

Domain-specific

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Read against the text for 1 of 2 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:2df76d844a0d · see in the full table