Norming e^(-r/a) in Spherical Polar Coordinates - Integral Bounds

Click For Summary
SUMMARY

The discussion focuses on the normalization of the wave function expressed as e^(-r/a) in spherical polar coordinates. The integral bounds for this function are defined over three-dimensional space, and users are advised to refer to standard resources for the conventions of spherical coordinates. It is confirmed that regardless of the convention used, the results will remain consistent. For further understanding, users are encouraged to consult mathematical literature on spherical coordinates.

PREREQUISITES
  • Spherical polar coordinates
  • Wave function normalization
  • Three-dimensional integrals
  • Mathematical conventions in integration
NEXT STEPS
  • Research the normalization process for wave functions in quantum mechanics
  • Study the properties and applications of spherical polar coordinates
  • Learn about integral bounds in multi-dimensional calculus
  • Examine different conventions for spherical coordinates and their implications
USEFUL FOR

Students and professionals in physics, particularly those studying quantum mechanics, as well as mathematicians dealing with multi-dimensional integrals and coordinate transformations.

jaejoon89
Messages
187
Reaction score
0
What is e^(-r/a) in spherical polar coordinates, and what are the bounds for the integrals?



(I need to know to norm a wave fxn given as e^(-r/a) in 3 dimensions.)
 
Physics news on Phys.org
e^(-r/a) is already expressed in spherical polar coordinates. And the integral is over all of three dimensional space. You should be able to look up the definition and range of these in your book - there are at least two different conventions. If it doesn't specify a particular one, use any one. Like here http://mathworld.wolfram.com/SphericalCoordinates.html They will all give the same answer.
 

Similar threads

Replies
25
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
Replies
3
Views
2K
  • · Replies 22 ·
Replies
22
Views
2K
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K