(Solution) - Using the one dimensional simple harmonic oscillator as an examp -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Using the one-dimensional simple harmonic oscillator as an example, illustrate the difference between the Heisenberg picture and the Schrodinger picture. Discuss in particular how
(a) The dynamic variables x and p and
(b) The most general state vector evolve with time in each of the two pictures.