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.

Which two objects have the greatest gravitational force acting between them

When an object is heated it contracts. a. true b. false

Thomas his older brothers, who own a junk yard, on the weekends to earn extra money. he likes to them push broken-down cars to the back of the junk yard because it makes him feel strong. last saturday, they pushed three cars with different weights, and he noticed he used different amounts of force for each one. the cars were the following weights: white car: 2,700 kg red car: 1,500 kg blue car: 2,100 kg think about how much force is needed to move each car. which correctly lists the cars in order from the most to least amount of force needed to move them? a) white, blue, red b) blue, red, white c) red, white, blue d) white, red, blue