The k = 0 state of the quantum mechanical free particle can be considered a state with a zero point energy equal to zero. the zero point energy of the particle in a box is not zero. what changes can you make to the particle in a box so that it approaches the free particle behavior? you are not allowed the trivial choice to remove the walls of the box. justify your answer with appropriate equations or formulae. this discuss in terms of the quantum classical correspondence principle.

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

i think the answer is bone

i do.

explanation:

i want to explore the wonders of the universe and find out if there really is life out there. i think the universe is beautiful.