QNT-30

Normal Zeeman

Orbital Zeeman unit.

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GoverningNormal Zeeman

Governing equation

\\Delta E=\\mu_B B

$B \in \left[0.05, 8\right]$

where

B: B (T)
dE: Normal Zeeman (ueV)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

\\Delta E=\\mu_B B

$B \in \left[0.05, 8\right]$

$B = 0.05$ $dE = 2.895$

Along the curve

②

Domain of the variable — blue

B_{\min} = 0.05,\quad B_{\max} = 8

$B \in \left[0.05, 8\right]$

$B = 0.05$ $B = 0.05$

Along the curve

③

Response curve — green

\\Delta E=\\mu_B B

$B \in \left[0.05, 8\right]$

$B = 0.05$ $dE = 2.895$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}dE}{\mathrm{d}B}

$B \in \left[0.05, 8\right]$

$B = 0.1$ $dE^{\prime} = 57.89$

Along the curve

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-30 — Normal Zeeman) is the form associated with Normal Zeeman. Working symbols: $B$ $\rightarrow$ $dE$ . Orbital Zeeman unit. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

dE

from

B

in Quantum mechanics via

\\Delta E=\\mu_B B

Orbital Zeeman unit. 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

B = 1.000\,\mathrm{T}

, the governing relation

\\Delta E=\\mu_B B

yields

dE = 57.890\,\mathrm{ueV}

. 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

B B1 T

Outputs

Normal Zeeman dE57.890 ueV

Reading speed

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Narration of this film

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

Orbital Zeeman unit. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube