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Separation of variables, Schrodinger's Equation.
For the first part of a physics homework question, I am given an equation and am told to separate the variables in a certain way. I am pretty sure this is part of ordinary differential equations, which I have never learned. (Not a pre or corequisite of my course.) Here is what I am asked  any help would be appreciated! Thank you!
The Schrodinger equation for two dimensions is \[(\frac{\delta ^2}{\delta x^2} \frac{\delta ^2}{\delta y^2}) \psi (x,y) =  \frac{2m(EU)}{\hbar ^2} \psi (x,y)\]
U is constant.
I am supposed to "separate variables by trying a solution of the form ψ(x,y)=f(x)g(y)
then dividing by f(x)g(y)." It also says to call the separation constants \[C_x\]and\[C_y\]
 11 months ago
 11 months ago
Separation of variables, Schrodinger's Equation. For the first part of a physics homework question, I am given an equation and am told to separate the variables in a certain way. I am pretty sure this is part of ordinary differential equations, which I have never learned. (Not a pre or corequisite of my course.) Here is what I am asked  any help would be appreciated! Thank you! The Schrodinger equation for two dimensions is \[(\frac{\delta ^2}{\delta x^2} \frac{\delta ^2}{\delta y^2}) \psi (x,y) =  \frac{2m(EU)}{\hbar ^2} \psi (x,y)\] U is constant. I am supposed to "separate variables by trying a solution of the form ψ(x,y)=f(x)g(y) then dividing by f(x)g(y)." It also says to call the separation constants \[C_x\]and\[C_y\]
 11 months ago
 11 months ago

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