Question

2. A particle is described by the wave function $phi(x) = 0$ for $x < 0$ $phi(x) = Ce^{-x/L}$ for $x ge 0$, where $L = 0.50$ nm. (a) (10 points) Find the constant C using that fact that the particle must be found somewhere on the x-axis with probability 1. In other words, normalize the wave function! (b) (10 points) Draw graphs of $phi(x)$ and the probability density $|phi(x)|^2$. (c) (10 points) Calculate the probability of finding the particle in a region $x ge 1.0$ nm.

          2. A particle is described by the wave function
$phi(x) = 0$ for $x < 0$
$phi(x) = Ce^{-x/L}$ for $x ge 0$, where $L = 0.50$ nm.
(a) (10 points) Find the constant C using that fact that the particle must
be found somewhere on the x-axis with probability 1. In other words,
normalize the wave function!
(b) (10 points) Draw graphs of $phi(x)$ and the probability density $|phi(x)|^2$.
(c) (10 points) Calculate the probability of finding the particle in a
region $x ge 1.0$ nm.

2. A particle is described by the wave function
phi(x) = 0 for x < 0
phi(x) = Ce^-x/L for x ge 0, where L = 0.50 nm.
(a) (10 points) Find the constant C using that fact that the particle must
be found somewhere on the x-axis with probability 1. In other words,
normalize the wave function!
(b) (10 points) Draw graphs of phi(x) and the probability density |phi(x)|^2.
(c) (10 points) Calculate the probability of finding the particle in a
region x ge 1.0 nm.

Added by Kevin R.

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