Compatible and incompatible observables

Does the momentum spread inferred from single-slit diffraction scale as 1/a, and does repeating one slit N times narrow the fitted width or only the error on its mean? Useful evidence includes profiles at five slit widths, fitted angular half-widths, inferred Δ-p against ℏ / 2 Δ-x with the slit named as a state preparation rather than a disturbance, and N repeats on one slit showing the error on the mean fall as 1/root-N while the fitted width holds..

This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. It is a first dedicated quantum-mechanics course, distinct from University Physics V, which covers quantum mechanics alongside atomic, nuclear and particle physics in twenty units: this course is narrower, slower, and teaches the linear algebra it needs rather than assuming it. Hydrogen appears here as an introduction, with the full radial derivation belonging to a second course. A midterm examination is assumed around week 8. Follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.