Closed loop of classical string

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SUMMARY

The discussion focuses on using the wave equation to describe a closed loop of classical string, emphasizing that it involves ordinary strings rather than concepts from string theory. The key takeaway is that applying periodic boundary conditions to the wave equation for a non-closed string effectively models a closed loop. This approach is supported by references to Zwiebach's string theory book, particularly in the earlier chapters, which provide a comprehensive treatment of the topic without delving into quantization.

PREREQUISITES
  • Understanding of wave equations in classical mechanics
  • Familiarity with boundary conditions in differential equations
  • Basic knowledge of classical string theory concepts
  • Access to Zwiebach's string theory book for reference
NEXT STEPS
  • Study the wave equation and its applications in classical mechanics
  • Research periodic boundary conditions and their implications in physics
  • Explore the content of Zwiebach's string theory book, focusing on the early chapters
  • Investigate the differences between closed and open strings in classical and quantum contexts
USEFUL FOR

Physics students, educators, and researchers interested in classical mechanics and wave phenomena, particularly those focusing on string dynamics and boundary conditions.

zwoodrow
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Has anyone seen a treatment of how to use the wave equation to describe a closed loop of string. I am talking ordinary strings here not the fancy string theory kind.
 
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I think its the same as a linear string, except with cyclical boundary conditions?
 
Actually, there is a good treatment of this in Zwiebach's string theory book. Just check out the earlier chapters, and forget about trying to quantize the string.

Basically, you take the wave equation for a non-closed string, and give it periodic boundary conditions, that's all.
 

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