The free particle in spherical coordinates

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SUMMARY

The discussion centers on the interpretation of the free particle in spherical coordinates as presented in Shankar's "Principles of Quantum Mechanics." A specific query arises regarding the term "l over rho," prompting a request for clarification on its derivation. Participants are encouraged to share their attempts to understand the concept, fostering collaborative learning and deeper insights into quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles as outlined in Shankar's textbook.
  • Familiarity with spherical coordinates and their application in physics.
  • Basic knowledge of angular momentum in quantum systems.
  • Ability to interpret mathematical expressions and derivations in physics.
NEXT STEPS
  • Review the derivation of angular momentum in quantum mechanics.
  • Study the application of spherical coordinates in wave functions.
  • Examine examples of free particles in different coordinate systems.
  • Explore advanced topics in quantum mechanics, such as perturbation theory.
USEFUL FOR

Students of quantum mechanics, physics enthusiasts, and anyone seeking to deepen their understanding of the mathematical framework behind quantum systems.

loewenzahn
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TL;DR
the free particle in spherical coordinates
Hi!
I'm studying Shankar's Principle of quantum mechanics
I didn't get the last conclusion, can someone help me understand it, please. Where did the l over rho come from?

1575571196317.png
 
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Expand the 2nd line. (And btw, if you still don't get it, show your attempt.)
 
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