States, Measurements and Operators (25 pts)

A collection of systems consistent each of a particle of mass m placed in an infinite square well of width L are all initially in identical quantum states described by the wavefunction,

You may find the following facts about the square well useful:

• a) (4 pts)
• b) (4 pts)
• c) (4 pts)
• d) (4 pts)
• e) (4 pts)
• f) (4 pts)