# Homework Help: Quantum probabilities calculation

1. Sep 28, 2009

### facenian

1. The problem statement, all variables and given/known data
In a one-dimensional problem, consider a system of two particles with which is associated
the wave function $\psi(x_1,x_2)$
a) Give the probability of finding at least one of the partichles between a and b
b)Give the probability of finding one and only one particle between a and b

2. Relevant equations

3. The attempt at a solution
a)
$$\int_{-\infty}^\infty dx_2 \int_a^b dx_1 |\psi(x_1,x_2)|^2 + \int_a^b dx_2\left(\int_{-\infty}^a dx_1|\psi(x_1,x_2)|^2 +\int_b^\infty dx_1|\psi(x_1,x_2)|^2 } \right)$$
b)
$$\int_a^b dx_1\left(\int_{-\infty}^a dx_2 |\psi(x_1,x_2)|^2 +\int_b^\infty dx_2 |\psi(x_1,x_2)|^2 } \right)+\int_a^b dx_2\left(\int_{-\infty}^a dx_1 |\psi(x_1,x_2)|^2 +\int_b^\infty dx_1 |\psi(x_1,x_2)|^2 } \right)$$
I need to know whether these answers are correct or incorrect and some indication in case they are incorrect