Question

Polar Brownian motion not recovering polar Laplacian?

score 493 · Answer 1 · 2026-03-17 12:25:08

493

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Polar Brownian motion not recovering polar Laplacian?

Published on 17 Mar 2026 - 12:25

score 88 · Answer 2 · 2026-03-17 08:03:22

88

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Trivial demonstration. $\nabla J(r,t)=\frac{\hbar}{im}\nabla\psi^{*}\nabla\psi+\frac{\hbar}{im}\psi\nabla^2\psi$

Published on 17 Mar 2026 - 8:03

score 128 · Answer 3 · 2026-03-19 19:11:57

128

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Bochner nonnegativity theorem for Laplace-Beltrami eigenfunctions?

Published on 19 Mar 2026 - 19:11

score 127 · Answer 4 · 2026-03-20 01:55:53

127

Views

Physicists construct their potentials starting from the Laplace equation, why they do not use another differential operator, like theta Θ?

Published on 20 Mar 2026 - 1:55

score 771 · Answer 5 · 2026-03-20 15:10:48

771

Views

Integral of the Laplacian of a function that is constant on the sphere

Published on 20 Mar 2026 - 15:10

score 331 · Answer 6 · 2026-03-20 07:03:04

331

Views

Trying to show 9 point laplacian equivalence

Published on 20 Mar 2026 - 7:03

score 1.5k · Answer 7 · 2026-03-20 08:54:00

1.5k

Views

Does the laplacian operator work on time as well as spacial variables?

Published on 20 Mar 2026 - 8:54

score 262 · Answer 8 · 2026-03-19 23:09:56

262

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Find the Green's function $G(\mathbf{x},\xi)$, such that $\nabla^2G = \delta(\mathbf{x}-\xi)$

Published on 19 Mar 2026 - 23:09

score 244 · Answer 9 · 2026-03-20 14:05:43

244

Views

Laplace-Beltrami operator in $\mathbb{R}^m$

Published on 20 Mar 2026 - 14:05

score 1.4k · Answer 10 · 2026-03-20 03:27:21

1.4k

Views

demonstration of vector laplacian in cartesian coordinates

Published on 20 Mar 2026 - 3:27

score 349 · Answer 11 · 2026-03-20 09:57:14

349

Views

Deriving laplacian in spherical coordinates using matrix operations

Published on 20 Mar 2026 - 9:57

score 841 · Answer 12 · 2026-03-17 03:15:31

841

Views

Intuition for the laplacian equation

Published on 17 Mar 2026 - 3:15

score 62 · Answer 13 · 2026-03-17 11:15:52

62

Views

How to compute Laplacian of $f(x) = |x|^{2-n}$?

Published on 17 Mar 2026 - 11:15

score 232 · Answer 14 · 2026-03-17 15:39:30

232

Views

I don't understand completely partial derivatives

Published on 17 Mar 2026 - 15:39

score 708 · Answer 15 · 2026-03-17 20:40:53

708

Views

Delta function of form: $\frac 1 {4π} \nabla ^2 \frac 1 {\lvert r - {r'} \rvert}$

Published on 17 Mar 2026 - 20:40

List Question

Polar Brownian motion not recovering polar Laplacian?

Trivial demonstration. $\nabla J(r,t)=\frac{\hbar}{im}\nabla\psi^{*}\nabla\psi+\frac{\hbar}{im}\psi\nabla^2\psi$

Bochner nonnegativity theorem for Laplace-Beltrami eigenfunctions?

Physicists construct their potentials starting from the Laplace equation, why they do not use another differential operator, like theta Θ?

Integral of the Laplacian of a function that is constant on the sphere

Trying to show 9 point laplacian equivalence

Does the laplacian operator work on time as well as spacial variables?

Find the Green's function $G(\mathbf{x},\xi)$, such that $\nabla^2G = \delta(\mathbf{x}-\xi)$

Laplace-Beltrami operator in $\mathbb{R}^m$

demonstration of vector laplacian in cartesian coordinates

Deriving laplacian in spherical coordinates using matrix operations

Intuition for the laplacian equation

How to compute Laplacian of $f(x) = |x|^{2-n}$?

I don't understand completely partial derivatives

Delta function of form: $\frac 1 {4π} \nabla ^2 \frac 1 {\lvert r - {r'} \rvert}$

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