Derive the commutation relation of the angular momentum operators [Li, Lj] = iεijkLk in which εijk is the Levi-Civita symbol.

b. (10 points) Explain what is the difference between the classical harmonic oscillator and the quantum harmonic oscillator in terms of their energy scheme (discrete or continuous). (Hint: you can draw the energy diagram of each oscillator and then you can use them for your explanation)? Explain the concept of quantization of energy using your own words? (Note: Your answer must be not less than five lines).

Consider classical and quantum harmonic oscillators. When the c... | Filo

Lecture 9: Operator Methods for the Harmonic Oscillator | Quantum Physics I | Physics | MIT OpenCourseWare