Zur Quantenmechanik einfacher Bewegungstypen.

Kennard, E. H. (1927). Zur Quantenmechanik einfacher Bewegungstypen. Zeitschrift für Physik, 44(4), 4-5.

Type

Journal article

Intellectual base

Primary research

Year

1927

DOI

10.1007/bf01391200

Link

https://doi.org/10.1007/BF01391200

Cited from

physics

Cited by

2 citations across 2 artifacts.

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

Primes

• Conjugate-Observable Complementarity
  • The precision-product bound is the inequality \(\Delta x \cdot \Delta p \geq \hbar/2\) — not two separate limits but a single floor on the product (the floor invariant), with the floor set by the canonical commutator \([\hat{x}, \hat{p}] = i\hbar\).

    This sourceProves the rigorous inequality Δx·Δp ≥ ħ/2 and characterizes minimum-uncertainty (saturating) Gaussian wavepackets.

Domain-specific

• Canonical commutation relation
  • … transfers from On suitable wavefunctions, x multiplies by position and p equals minus iℏ times differentiation, so xp-px equals iℏ. to A derivation states operator domains and boundary conditions and avoids treating unbounded operators as finite matrices, where the trace identity would contradict the relation..

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