"Quantum scattering"의 두 판 사이의 차이

2011년 2월 7일 (월) 10:03 판

\(\varphi_{xx}+(\lambda-u)\varphi=0\)
looking for bounded functions on the whole line
- 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 \(\lambda<0\)
continuous spectrum \(\lambda>0\)

\(E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi\)

@@ 9번째 줄: / 9번째 줄: @@
+<h5>time independent Schrdo</h5>
+<math>E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi</math>
@@ 65번째 줄: / 67번째 줄: @@
 <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5>
+* [http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation http://en.wikipedia.org/wiki/Schrödinger_equation]<br>
+* [http://en.wikipedia.org/wiki/Spectrum_%28functional_analysis%29 http://en.wikipedia.org/wiki/Spectrum_(functional_analysis)]<br>
 * http://www.ams.org/mathscinet
 * http://www.zentralblatt-math.org/zmath/en/