QNT-22

Compton shift

Free-electron Compton.

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GoverningCompton shift

Governing equation

\\Delta\\lambda=\\lambda_c(1-\\cos\\theta)

where

th: th (deg)
dl: Compton shift (pm)

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-22 — Compton shift) is the form associated with Compton shift. Working symbols: $th$ $\rightarrow$ $dl$ . Free-electron Compton. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

dl

from

th

in Quantum mechanics via

\\Delta\\lambda=\\lambda_c(1-\\cos\\theta)

Free-electron Compton. 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

th = 90.000\,\mathrm{deg}

, the governing relation

\\Delta\\lambda=\\lambda_c(1-\\cos\\theta)

yields

dl = 2.426\,\mathrm{pm}

. 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

th th90 deg

Outputs

Compton shift dl2.426 pm

Reading speed

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Narration of this film

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

Free-electron Compton. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube