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1. Expectation values: As you have seen in lecture, the wavefunction describing a quantum mechanical system is postulated to provide complete knowledge of the system. The average or "expectation value for any physical observable (4) that one would obtain after many measurements on the system can be obtained from the wavefunction as follows: (4) = v() (2) da (1) My research investigations have uncovered the existence of a new physical observable, Zarni- woop, which answers the meaning of life, the universe and everything. Through intense mathematical derivation, I ascertained the corresponding Zarniwoop operator 2: 21 04 21 de d 4 d.cf 12 d.2 (2) dir I now leave it to you to find the expectation value for the meaning of life, the universe and everything for the n=1 state of the particle in a 1-D box of length L = 1. Recall, the general particle in a box wavefunctions are: teltet), Un(2) = VE sin ("Z) (3) (3)