Hermitian operators in quantum mechanics

💻 Book a 1:1 session: https://docs.google.com/forms/d/e/1FA...

📚 Hermitian operators represent physical quantities in quantum mechanics. We first show that their eigenvalues, which give the possible outcomes of the measurement of a physical quantity, are always real numbers. Second, we show that their eigenstates, which tell us about the probability of obtaining a particular outcome for a measurement, form a basis of state space, so they can be used to represent any physical state.

🐦 Follow me on Twitter:   / profmscience  

⏮️ BACKGROUND
Dirac notation in state space:    • Dirac notation: state space and dual ...  
Operators:    • Operators in quantum mechanics  
Representations:    • Representations in quantum mechanics  
Matrix formulation:    • Matrix formulation of quantum mechanics  
Eigenvalues and eigenstates:    • Eigenvalues and eigenstates in quantu...  

⏭️ WHAT NEXT?
Compatible observables:    • Compatible observables in quantum mec...  
Measurements | Concepts:    • Measurements in quantum mechanics || ...  
Measurements | Maths:    • Measurements in quantum mechanics || ...  

~
Director and writer: BM
Producer and designer: MC