Consider a charged particle in the one dimensional harmonic oscillator potential. suppose we turn on a weak electric field. Suppose we turn on a weak electric field (E), so that the potential energy is shifted by an amount H= -qEx. a. Show that there is no first-order change in the energy levels, and calculate the second-order correction.
b. The Schrodinger equation can be solved directly in this case, by a change of variables: x' = x - (qE/mw2). Find the exact energies, and show that they are consistent with the perturbation theory approximation.

If jill was traveling at 300 miles in 4 hours due south what was his velocity in miles per minute a) 75 miles per hour due south b) .02 miles per second due south c) .5 miles per second due south d) 1 mile per hour due south

The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a cross-sectional area of 450 mm2, determine the maximum value of p if the allowable stress is (σallow)st = 200 mpa for the steel and ( σallow)al = 150 mpa for the aluminum. est = 200 gpa and eal = 70 gpa.

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?