一旦你搞清楚了拉普拉斯算子（Laplacian）的物理意义你就知道为什么它那么常见、那么重要了。 一般你看到的拉普拉斯算子长这样： \overrightarrow {\nabla}^2 。 当其作用于一个空间标量函数 f 时，写 …

Jun 25, 2020 · As part of my attempt to learn quantum mechanics, I recently went through the computations to convert the Laplacian to spherical coordinates and was lucky to find a slick method …

Sep 15, 2021 · I'd suggest including the word (laplacian operator or laplace operator, in fact both). Currently the title is hard to search because of the different names people give this mathematical …

Mar 17, 2021 · Actually this question has been previously asked and well-answered. See Intuitive interpretation of the Laplacian. Also Nice way of thinking about the Laplace operator. Also Why is the …

The Laplacian is a discrete analogue of the Laplacian $\sum \frac {\partial^2 f} {\partial x_i^2}$ in multivariable calculus, and it serves a similar purpose: it measures to what extent a function differs at …

Oct 6, 2020 · I know that the eigenvectors of a Laplacian matrix of a graph are so important. They show the locality over the graph (as I know). But whatever I've read about an eigenvector of Laplacian …

I'm wondering about some definitions of the eigenvalues and eigenfunctions of the laplacian operator and I would be really glad if you can help me on these definitions. Let's make things simple. I...

Laplacian in polar coordinates Ask Question Asked 13 years, 11 months ago Modified 10 months ago

Apr 4, 2021 · Clearly the average of adjacent entries in a Laplacian matrix doesn't really work because of the embedded degree matrix in the diagonal: Others approach the graph Laplacian by noticing the …

Apr 20, 2020 · There are a couple of different "Laplacians" in differential geometry. Depending on your background, you might enjoy the exposition in Peter Petersen's Riemannian Geometry (pages 209 …