QNT-23

Heisenberg floor

Minimum momentum smear.

Reading speed

GoverningHeisenberg floor

Governing equation

\\Delta x\\Delta p\\ge\\hbar/2

where

dx: dx (nm)
dp: Heisenberg floor (keV/c)

Lecture brief

Historical brief

Planck (1900), Einstein’s photoelectric law, Bohr, de Broglie, Heisenberg and Schrödinger’s 1926 equation rebuilt matter as amplitude. These sheets are the first solvable models: wells, spin, tunneling, uncertainty. This sheet (QNT-23 — Heisenberg floor) is the form associated with Heisenberg floor. Working symbols: $dx$ $\rightarrow$ $dp$ . Minimum momentum smear. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

dp

from

dx

in Quantum mechanics via

\\Delta x\\Delta p\\ge\\hbar/2

Minimum momentum smear. Use it when a real quantum mechanics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

dx = 0.100\,\mathrm{nm}

, the governing relation

\\Delta x\\Delta p\\ge\\hbar/2

yields

dp = 986.688\,\mathrm{keV/c}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

dx dx0.1 nm

Outputs

Heisenberg floor dp986.688 keV/c

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Minimum momentum smear. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube