==> Due on Tuesday 3/25 in class <==
(1) Imaginary-time propagators and path-integrals --- pdf file.
(2) Properties of the simple harmonic oscillator --- pdf file. This is solvable with wave mechanics, but it is more convenient to use the algebraic method (Sec. 2.3 is a reading assignment --- note the formal similarity to HW2 Prob 3.)
(3) Sakurai Problem 2.4.
Cont'd:
Based on your result, if the particle is initially in a well-localized state, will it remain in a well-localized state? (Please justify your answer.) In the case of the Gaussian wave packet we studied in HW3, is this conclusion consistent with your earlier results?
(4) Sakurai Problem 2.37.