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 …

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 …

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...

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 …

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： ∇ → 2

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 …

Apr 17, 2016 · How does one show that $\\nabla^2 1/r$ (in spherical coords) is the Dirac delta function ? Intuitively, it would seem that the function undefined at the origin and I'm not able to construct a limiting

Jan 21, 2015 · Why Laplacian matrix needs normalization and how come the sqrt-power of degree matrix? The symmetric normalized Laplacian matrix is defined as $$\ L^ {\text {sym}} = I - D^ { …

Jan 23, 2017 · In what way are the Laplacian operator (defined on functions from $\\Bbb{R}^n$ to $\\Bbb{R}$ which are twice-differentiable) and the Laplacian matrix (defined on simple graphs) …

42 I know very well that Laplacian in bounded domain has a discrete spectrum. How about Laplacian in $\mathbb {R}^n$? (not in some fancy-shaped unbounded domain, but the whole domain) Where can …