Consider a spin 1/2 particle. Find the linear combination of the |+) and |-) kets that maximizes the uncertainty product, ((AS)2){(AS,)2). Verify explicitly that for the linear combination that you found, the uncertainty relation for Sa and Sy is not violated.

this question is about the hydrogen atom in quantum mechanics!

What is the uncertainty principle with respect to momentum and position?

124. For a 1-kg ball in a l-m² square two-dimensional box (i.e., L = 1 m), what is the lowest quantum energy allowed? If the ball had this kinetic energy, how long would it take to travel from one side of the box to the other? Is this time something that you think you could measure?