Question

1.It is generally accepted that Unicorns can be described by 3 observables, Color, Happiness, and Location. Quantum Unicorns are described by the operators C, H, and L. These operators satisfy the commutator relation

[?, ?] = −???, where m is an integer and ?= √−1.

he has directly observed a Unicorn and determined its color to be purple with absolute certainty (he’s that good of an experimentalist). Can he simultaneously determine its Happiness with absolute certainty?

2. Shortly after his observation of a Unicorn, you realize that the operators C and H must be Hermitian. Is L also Hermitian? Explain why or why not

3. Would the eigenvalues of the Unicorn location operator L be REAL, IMAGINARY, or COMPLEX?

Answer 1