The questions from textbook #6(2) using the pauli matrices, prove equation (10-6) on page 159. 10-1 eigenstates of spin 1/2 159 where (10-5) are the pauli matrices. they satisfy the commutation relations (10-6) and so on, as they must, to satisfy (10-1), and they also satisfy (10-7) the pauli matrices also anticommute: (10-8) these relations are peculiar to the spin 1/2 representations and do not hold for the -i matrices, for example. the eigenstates of s, will be represented by a two-component columa vector, which we call spinor. to find these eigenspinors, we solve (10-9) that is, using (10-4)

I'm thinking it's 2 you are asked to explain the earth's magnetic field. which is the best reply? 1. the earth's magnetic south is similar to the north pole of a magnet. 2. the earth's core has a strong magnetic charge similar to the south pole of a magnet. 3. the earth's geomagnetic south is similar to the south pole of a magnet. 4. the earth's magnetic charge is not centered at either pole; it varies based on location.

Acapacitor is storing energy of 3 joules with a voltage of 50 volts across its terminals. a second identical capacitor of the same value is storing energy of 1 joule. what is the voltage across the terminals of the second capacitor?

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s