- #1
PeteSampras
- 44
- 2
Hello, i had studied the problem in 1D, but i thinking the problem in 2d, an i have the following question:
in a potential -V between (-a,a) an 0 otherwise.
One dimensional case:
One of the boundary condition are :
##\phi_I \in (-a,a)##, and ##\phi_{II} \in (a,\infty)##
## \phi_I(a)=\phi_{II}(a)##
and continuity condition
## \phi_I'(a)=\phi_{II}'(a)##
in two dimensional case , for example with separation variables:
##X_I(x)Y_I(y) \in (x,y) \in (-a,a)##, and ##X_{II}(x) Y_{II}(y) \in (x,y) \in (a,\infty)##
how are the boundary and continuity condition?
I think that
## X_I(x=a)Y_I(y=a)=X_{II}(x=a)Y_{II}(x=a)##
but, ¿how i write the continuity condition?,
in a potential -V between (-a,a) an 0 otherwise.
One dimensional case:
One of the boundary condition are :
##\phi_I \in (-a,a)##, and ##\phi_{II} \in (a,\infty)##
## \phi_I(a)=\phi_{II}(a)##
and continuity condition
## \phi_I'(a)=\phi_{II}'(a)##
in two dimensional case , for example with separation variables:
##X_I(x)Y_I(y) \in (x,y) \in (-a,a)##, and ##X_{II}(x) Y_{II}(y) \in (x,y) \in (a,\infty)##
how are the boundary and continuity condition?
I think that
## X_I(x=a)Y_I(y=a)=X_{II}(x=a)Y_{II}(x=a)##
but, ¿how i write the continuity condition?,