- #1
tarletontexan
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Homework Statement
A particle of mass m is located in a box of length L and found to be in its ground state
A) what is the probability of finding the particle between x=0 and x=L/4
B) What is the expectation value for the position of the particle?
C)What is the expectation value <x^2>?
D)What is the kinetic energy of the particle?
E) What are the 2 possible momentum values for the particle
F)What is the expectation value for momentum
G)what is the expectation value <p^2>?
Homework Equations
Probability= the integral from 0 to L/4 of [tex]\psi[/tex] squared, dx
sin^2((pi)x/L)=1-cos(2(pi)x/L)
The Attempt at a Solution
My attempt at this solution doesn't have a coefficient in front of the integral like my book does in the example it has. I don't know where that one came from and don't know what to put in front of mine for a the book has (2/L) is that like the portion of the box that is being evaluated over? All of the questions above need the question before last to answer starting with the probability. I just need some help getting started and maybe a little more along the way.