Path Integrals in finite dimensions

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SUMMARY

The discussion centers on the mathematical foundations of path integrals in finite dimensions, specifically addressing the challenges faced by a physicist in understanding the equations presented in a shared PDF document. The user seeks clarification on the connection between the equations and path integrals, particularly regarding the correct use of subscripts and superscripts. The conversation emphasizes the importance of clear mathematical notation and the need for assistance in interpreting complex equations related to path integrals.

PREREQUISITES
  • Understanding of path integrals in quantum mechanics
  • Familiarity with linear algebra concepts, particularly diagonalization
  • Knowledge of mathematical notation, including subscripts and superscripts
  • Experience with mathematical document formats, such as LaTeX or PDF
NEXT STEPS
  • Review the principles of path integrals in quantum mechanics
  • Study linear algebra techniques for diagonalization
  • Learn about mathematical notation and its importance in physics
  • Explore resources on interpreting complex equations in theoretical physics
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This discussion is beneficial for physicists, mathematics students, and researchers involved in quantum mechanics, particularly those seeking to deepen their understanding of path integrals and their mathematical representations.

Hymne
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Hello fellow physicists!
Last meeting with my supervisor I had just recovered from disease so all I have left are some equations for the math behind path integrals that don't make to much sense..
I was wondering if, maybe someone can help and clarify what he was trying to get at. It would be really appricieated! The change of basis and diagonalization is no trouble, but need some help with comments on the rest.
The equations are in the following pdf:

http://www.2shared.com/document/Y-JaDQoN/mall-okommenterad.html
(The math writing on this page did not work to well for me. )

All the best!
// Hymne
 
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I'm sorry for the crapy english and bad formulation - I wrote quite much for to long so when I tried to post every thing disappeared.
Anyway I think there might be some mistakes done with subscript and superscript.
If you can just write what is done in "equation #" and maybe a summary of the whole connection with path integrals, I would be really happy.

It feels like the more I write for the moment, the worse it gets.
 
Last edited:

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