"Quantum scattering"의 두 판 사이의 차이

2011년 2월 7일 (월) 10:37 판

Schrodinger equation
\(E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi\)
\(\varphi_{xx}+(\lambda-u)\varphi=0\)

@@ 2번째 줄: / 2번째 줄: @@
 * <math>\varphi_{xx}+(\lambda-u)\varphi=0</math>
-*  looking for bounded functions on the whole line<br>
-** If the interval is unbounded, or if the coefficients have singularities at the boundary points, one calls L singular. In this case the spectrum does no longer consist of eigenvalues alone and can contain a continuous component. There is still an associated eigenfunction expansion (similar to Fourier series versus Fourier transform). This is important in quantum mechanics, since the one-dimensional Schrödinger equation is a special case of a S–L equation
 * discrete spectrum <math>\lambda<0</math>
 * continuous spectrum <math>\lambda>0</math>
@@ 9번째 줄: / 7번째 줄: @@
-<h5>time independent Schrdo</h5>
+<h5>time independent Schrodinger equation</h5>
-<math>E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi</math>
+* [[Schrodinger equation]]<br><math>E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi</math><br>
+* <math>\varphi_{xx}+(\lambda-u)\varphi=0</math>
+*