Request for help and/or comments

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SUMMARY

The discussion centers on the challenges faced by a user studying quantum mechanics (QM) due to difficulties in understanding tensors and differential spaces. Key resources shared include websites for tensor calculus and differential geometry, specifically the links from UNC Wilmington and Hofstra University. Additionally, a highly recommended resource for understanding Minkowski space is provided, which is a set of notes by Sean Carroll. These resources are essential for anyone looking to deepen their understanding of these advanced mathematical concepts.

PREREQUISITES
  • Basic understanding of quantum mechanics (QM)
  • Familiarity with tensor calculus
  • Knowledge of differential geometry
  • Conceptual grasp of Minkowski space
NEXT STEPS
  • Explore tensor calculus through the resources from UNC Wilmington and Hofstra University
  • Study differential geometry using the provided online links
  • Read Sean Carroll's notes on Minkowski space for a comprehensive understanding
  • Investigate additional mathematical physics resources listed on the Geocities link
USEFUL FOR

Students and researchers in physics, particularly those focusing on quantum mechanics and mathematical physics, as well as anyone seeking to enhance their knowledge of tensors and differential geometry.

karma345
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Hello all. I've been studying QM for some time, and it's going well but it is lacking mostly because I'm having a very difficult time grasping the finer points of tensors and differential spaces. Let me start with this - could someone please kind of give me, or direct me toward, a tour of basic Minkowski space? I would be greatly appreciative.

Jason
 
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well here are all the websites i use for tensor calculus, etc.:

http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm
[PLAIN]http://people.hofstra.edu/faculty/Stefan_Waner/diff_geom/tc.html[/PLAIN]

those two are pretty good and fairly rigorous. If you go to:

http://www.geocities.com/alex_stef/mylist.html

You will find many links to online mathematics resources. Look under geometry for differential geometry, there is some good stuff there, and under mathematical physics as well.

For the best treatment of MInkowski space that i have found online yet go to:

[URL]http://pancake.uchicago.edu/~carroll/notes/
[/URL]
 
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Thanks. I'll check them out.
 

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