Consider the following state of a harmonic oscillator at t = 0 written as a linear combi- nation of eigenstates of the number operator n|n) = nin), [ you may recall that the ladder operator a can be written 2h 2mhu (a) using the schrödinger equation, derive an expression for (t)) (b) calculate ()x(t) and ((t)x2(t) c) calculate < p > t-0 and show that it is a maximum when α . (d) calculate (0l(t) to derive an expression of the probability of being in the ground state as a function of time

it would be a very light gray or not there at all antartica very rarely gets sun. so it would be hard to see your shadow. hope this ! (sorry if it dosn't)

explanation:

the closer the planet is to the sun, the larger the gravity

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.