Solving Schrodinger Equation for Y(x)=A Sin (x)=0

[ghostbuster25]

ive been asked to show that the function of Y(x) = A sin (x) = 0 is a solution to the equation of

d²Y(x)
dx²

+k²Y(x)=0

where the Y is meant to be the lowercase wavefunctio psi...i just can't get it to work on this :(

basiaclly I am completely stuck. I am not really sure what to do! any help would be much appreciated :)

many thanks

 

[Cyosis]

You're supposed to plug Y(x) into the differential equation and compute the derivatives.

 

[ghostbuster25]

yer that's what I've just been reading but i am unsure of the value of Y

thanks for quick reply :)

 

[ghostbuster25]

sorry what i meant was that i am unsure of the value of A in th function. I understand kind of how to do the rest its just the A that has thrown me

and also i made a mistake the function is Y(x) = A sin (kx) not as stated above

 

[Cyosis]

The A is a constant. It will be pretty obvious what that A is when you plug the solution into the differential equation. Do this and please show your work. I can't say much more until you have done that without giving away the answer.

 

[ghostbuster25]

is a just the quantum numbers (n=1,2,3...)
ha ha i bet its right in front of me isn't it

 

[Cyosis]

Why aren't you plugging the solution into the differential equation as I have asked you to do three times now?

 

[tomwilliam]

Try doing it the other way round: try taking the solution, and differentiating it twice. See what that gives you.