Laplacian in Spherical Coordinates

Click For Summary
SUMMARY

The discussion focuses on solving problems related to the Laplacian in spherical coordinates. Participants emphasize the importance of trigonometric identities for problem-solving, particularly in relation to right triangles. The conversation also highlights the need to understand the concept of unit vectors in this context. Specific steps and methods for approaching the homework problems are sought, indicating a collaborative effort to clarify these mathematical concepts.

PREREQUISITES
  • Understanding of spherical coordinates
  • Familiarity with the Laplacian operator
  • Knowledge of trigonometric identities
  • Basic vector calculus concepts
NEXT STEPS
  • Study the derivation of the Laplacian in spherical coordinates
  • Review trigonometric identities relevant to right triangles
  • Learn about unit vectors and their properties
  • Practice solving differential equations using spherical coordinates
USEFUL FOR

Students studying advanced calculus, mathematicians focusing on differential equations, and anyone interested in applying spherical coordinates in physics or engineering contexts.

PhysicsIzHard
Messages
9
Reaction score
0

Homework Statement



2hd8y9y.jpg

2j0xnx3.jpg

14ngugx.jpg

Homework Equations



All above.

The Attempt at a Solution



Tried the first few, couldn't get them to work. Any ideas, hopefully for each step?
 
Physics news on Phys.org
For a, you should remind yourself of trigonometric identities involving right triangles.

For b, how long is a unit vector?
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
1K
Replies
6
Views
2K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 17 ·
Replies
17
Views
4K
Replies
6
Views
1K
Replies
1
Views
3K