# Wave function (1 Viewer)

### Users Who Are Viewing This Thread (Users: 0, Guests: 1)

#### alias25

what would a wave function of

phi(x) = Ke^(-a|x|)

look like?

would it be like an exponential graph with a graph reflected along the y axis?

and its probability distrubution (phi)^2?
i have no idea...i can't seem to find it by googling.

#### Max Eilerson

alias25 said:
would it be like an exponential graph with a graph reflected along the y axis?
.
Yes. Try plotting a few values

alias25 said:
and its probability distrubution (phi)^2?
$$|\Psi (x)|^2$$ is the probability density.

The probability of measuring a position in the interval [a, b] is the integral of $$|\Psi (x)|^2$$ evaluted between a and b, make sure to normalise the wavefunction first.
nb: This is 1-particle in 1-dimension, which is what I suspect you want.

### The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving