Path integrals in scalar fields when the path is not provided

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Discussion Overview

The discussion revolves around the challenge of addressing path integrals in scalar fields when the path is not explicitly provided in a parametrized form. Participants explore the implications of this lack of explicit path definition on solving the problem.

Discussion Character

  • Exploratory, Debate/contested, Technical explanation

Main Points Raised

  • One participant expresses difficulty in solving the problem due to the absence of an explicitly provided path.
  • Another participant questions the initial claim, suggesting that the path can be interpreted as the line segment connecting the two points presented.
  • A later reply clarifies that the concern is specifically about the path not being given in a parametrized form, rather than its existence.
  • Ultimately, one participant indicates that they have resolved their issue independently, retracting their request for assistance.

Areas of Agreement / Disagreement

There is no consensus on the interpretation of the path's absence, as participants present differing views on what constitutes the path in this context. The discussion remains unresolved regarding the implications of not having a parametrized path.

user12323567
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Homework Statement
Evaluate the integral of the curve x^2-y^2+3z wrt ds where the line segment C runs from (0,0,0) to (1,-2,1)
Relevant Equations
∫c Φds
I cannot seem to start answering the question as a result of the path not being provided. How do I solve this when the path is not provided? See picture below
1636484204127.png
 
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What do you mean the path is not provided? The path is the line segment from both points presented :/
 
LCSphysicist said:
What do you mean the path is not provided? The path is the line segment from both points presented :/
I meant to say that the path is not given explicitly as a parametrized form.
 
Disregard my request for assistance. I have solved the problem.
 

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