Skew-hermitian operators:
determine the properties of the eigenvalues and eigenvectors of a skew-hermitian operator. are the eigenvalues real, complex, purely imaginary? are the eigenvectors orthogonal?
heisenberg uncertainty principle:
derive the heisenberg uncertainty principle for the following cases:
a) a and b operators are hermitian but the quantum state is mixed (not pure)
b) a is hermitian and and b is skew-hermitian, the quantum state is pure.
what if a and b are both skew-hermitian?

Next a skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 15 with the horizontal. the rope moves parallel to the slope with a constant speed of 0.69 m/s. the force of the rope does 800 3 of work on the skier as the skier moves a distance of 8.4 m up the incline. (a) if the rope moved with a constant speed of 2.2 m/s how much work would the force of the rope do on the skier as the skler moved a distance of 8.4 m up the incline? at what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 0.69 m/s and (c) 2.2 m/s?

Astudent creates a model of a closed ecosystem by filling a glass tank half full with water, then adding 10 snails and two small aquatic plants. the next day, all the snails are dead. what is the most likely cause of their death?

Assume this car is driven off a cliff . how many arrows of force need to be drawn in the free body diagram? assume no air resistance -five -one -three -four