Infinite well's standing wave

[skym]

SHOW THAT THE INFINITE WELL'S STANDING-WAVE FUNCTION CAN BE EXPRESSED AS A SUM OF TWO TRAVELING WAVES OF THE FORM Ae^i(kx-wt)



2. Relevant equations



3. The attempt at a solution

[nickjer]

Please show a bit more work. At least write out the infinite well's standing wave equation.