Question

4. (a) T/F:Consider a particle of mass m. Is there a physical situation in which the x-direction of the momentum of a system can be known with 100% certainty?
(b) T/F: Consider a particle of mass m.Is there a physical configuration of the system in which the position in the x direction and the momentum in the x direction can both be predicted with 100% certainty?
(c) T/F: Is the infinite square well potential a good model for the hydrogen atom? Why or why not?
(d) Consider a free particle whose wavefunction is given by Ψ(x,t) = Ψ0(sin(k1x−w1t) + sin(k2x−w2t) (1) If ∆k = k1 −k2 is small, sketch the wavefunction of the particle. What is the group velocity? What condition must be satisfied for the group velocity to equal the phase velocity?

Answer 1