# Two-dimensional Schrodinger equation

1. Mar 17, 2013

### fkf

1. The problem statement, all variables and given/known data
An ice-hockey puck has the weight 0.170 kg. The ice-hockey rink is 30x60 m. If no players are on the ice, what speed does the puck have due to the quantum effects (ground state)?

2. Relevant equations
The wave-equation solution to the Schrodinger equation is
ψ(x,y) = Asin(kx*x)sin(ky*y)

3. The attempt at a solution
Since we're talking about energies and ground state. I would like to calculate the energy and then the E = mv^2/2 to calculate the speed. But we're in two dimensions and given the solution above

2. Mar 17, 2013

### vela

Staff Emeritus
So what's specifically stopping you?

3. Mar 17, 2013

### fkf

Since the energy is not a vector, I can't threat the energies as vectors and then calculate a given speed for x and y.

4. Mar 17, 2013

### vela

Staff Emeritus
Why would you need to treat E as a vector? Please explain your reasoning on how you're thinking you need to solve this problem fully. Right now, you're just throwing out snippets that don't make sense and make it impossible to figure out what you're thinking.