Constants of motion in quantum mechanics

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💻 Book a 1:1 session: https://docs.google.com/forms/d/e/1FA... • 📚 In classical mechanics, a constant of motion is a physical quantity that does not change in time. In this video we explore constants of motion in quantum mechanics. We find that for an observable that is a constant of motion, the following quantities are time independent: the expectation value, the eigenstates, and the probabilities of a measurement outcome. • 0:00 Intro • 0:43 Definition • 2:00 Time-independent expectation values • 3:14 Common set of eigenstates with H • 5:25 Time-independent outcome probabilities • 8:21 Wrap-up • ⏮️ BACKGROUND • Schrödinger equation:    • The Schrödinger equation   • Ehrenfest theorem:    • The Ehrenfest theorem   • Compatible observables:    • Compatible observables in quantum mec...   • Measurements | Concepts:    • Measurements in quantum mechanics || ...   • ⏭️ WHAT NEXT? • Central potentials:    • Central potentials in quantum mechanics   • ~ • Director and writer: BM • Producer and designer: MC

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