Expectation values in quantum mechanics
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💻 Book a 1:1 session: https://docs.google.com/forms/d/e/1FA... • 📚 In quantum mechanics, the possible outcomes of a measurement are associated with a probability distribution. In this video we learn how to characterize probability distributions in quantum mechanics using two simple concepts from probability theory: expectation values and root mean square deviations. These two quantities are extremely useful in many areas, including the famous Heisenberg uncertainty principle. • 🐦 Follow me on Twitter: / profmscience • ⏮️ BACKGROUND • Measurements || Concepts: • Measurements in quantum mechanics || ... • Measurements || Maths: • Measurements in quantum mechanics || ... • ⏭️ WHAT NEXT? • Heisenberg uncertainty principle || Deep dive: • The Heisenberg uncertainty principle ... • Heisenberg uncertainty principle || Proof: • The Heisenberg uncertainty principle ... • ~ • Director and writer: BM • Producer and designer: MC
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