Closed loop of classical string

In summary, a closed loop of classical string is a theoretical concept in physics that describes the behavior of a fixed string that can vibrate in specific standing wave patterns. It is significant in understanding the behavior of waves and particles in quantum mechanics. It differs from an open loop in terms of fixed ends and specific vibration patterns. It cannot exist in the physical world, but is used as a model in quantum mechanics to explain the wave-like properties of particles.
  • #1
zwoodrow
34
0
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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  • #2
I think its the same as a linear string, except with cyclical boundary conditions?
 
  • #3
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.
 

1. What is a closed loop of classical string?

A closed loop of classical string is a theoretical concept in physics that describes the behavior of a string that is fixed at both ends and can vibrate in a standing wave pattern.

2. What is the significance of a closed loop of classical string?

The closed loop of classical string is significant because it helps to explain the behavior of waves, such as sound and light, as well as the properties of particles in quantum mechanics.

3. How is a closed loop of classical string different from an open loop?

A closed loop of classical string is fixed at both ends and can only vibrate in specific standing wave patterns, while an open loop has one or both ends free to move and can vibrate in various patterns.

4. Can a closed loop of classical string exist in the physical world?

No, a closed loop of classical string is a theoretical concept and cannot exist in the physical world. It is used as a model to understand the behavior of waves and particles in certain situations.

5. How does quantum mechanics relate to the closed loop of classical string?

The closed loop of classical string is used in quantum mechanics to describe the behavior of particles, such as electrons, which can be thought of as vibrating strings. This concept helps to explain the wave-like properties of particles in quantum mechanics.

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