- #1
quZz
- 123
- 1
Though this question arose in quantum mechanics, i think it should be posted here.
Consider a particle in a well with infinite walls:
<br /> $i i \frac{\partial \Psi}{\partial t} = -\frac12 \frac{\partial^2 \Psi}{ \partial x^2},\:0<x<a$<br />
but the wall start to squeeze
$\Psi(x=0,t) \equiv 0$
$\Psi(x=a-t,t) = 0$
In the beginning the state function is known
$\Psi(x,t=0) = \varphi(x)
What is the method for solving this type of PDE?
Consider a particle in a well with infinite walls:
<br /> $i i \frac{\partial \Psi}{\partial t} = -\frac12 \frac{\partial^2 \Psi}{ \partial x^2},\:0<x<a$<br />
but the wall start to squeeze
$\Psi(x=0,t) \equiv 0$
$\Psi(x=a-t,t) = 0$
In the beginning the state function is known
$\Psi(x,t=0) = \varphi(x)
What is the method for solving this type of PDE?
