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Unformatted text preview: CHAPTER 2 PROBLEM SET 1 1. Show that, after separating variables, time dependent Schrdinger equation takes the form 2. Schrdingers cat in the in the infinite well. The well include electrons whose wave function described by Schrdinger equation. At an instant if the cat is exposed more than unit energy it may die. The wave function of the electrons are measured: a) Calculate b) The cat takes a walk from one energy level to the other. Is the cat died or alive? Free Particle 3. Consider a particle moving in one-dimension characterized by the wavefunction that is obtained from the solution of the Schrdinger equation for free particle. Write expressions for the following quantities: (a) show that the parameters are constrained to . (b) probability of finding particle between x=a and x=b (c) average (expectation) value of its position (d) average value of the square of its position (e) average value of its momentum (f) average value of its kinetic energy (g) average value of its total energy (h) average value of the velocity (i)...
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