Boundary conditions of non relativistic strings

In summary, boundary conditions in non-relativistic strings are conditions that must be satisfied at the endpoints of a string and typically include fixed endpoints, zero string tension, and no external forces. These conditions determine the allowed modes of vibration and the corresponding frequencies, as well as the shape and amplitude of the string's vibrations. They can be changed to model different situations, but fixed endpoints are commonly used as simplifications. There are also different types of boundary conditions, such as free endpoint and clamped endpoint conditions, which can lead to different behaviors and motion of the string.
  • #1
moriheru
273
17
I am currently reading Zwiebach and intend on reading Becker and Polchonski afterwoods. In chapter 4 he slves a partial differential equation with the Dirichlet and Neumann BC. My question is what the difference is between the two BC.(BC=Boundary conditions).

Thanks for any help.
 
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  • #3

Related to Boundary conditions of non relativistic strings

1. What are boundary conditions in non-relativistic strings?

Boundary conditions are conditions that must be satisfied at the endpoints of a string in order to fully describe its behavior. In non-relativistic strings, these conditions typically include fixed endpoints, zero string tension, and no external forces.

2. How do boundary conditions affect the motion of a non-relativistic string?

The boundary conditions of a non-relativistic string determine the allowed modes of vibration and the corresponding frequencies. They also affect the shape and amplitude of the string's vibrations.

3. Can boundary conditions be changed in non-relativistic strings?

Yes, the boundary conditions of a non-relativistic string can be changed to model different situations. For example, the endpoints can be allowed to move or external forces can be applied to the string. However, the fixed endpoint and zero tension conditions are commonly used as simplifications in many cases.

4. What is the significance of fixed endpoints in non-relativistic strings?

Fixed endpoints in non-relativistic strings represent the idea of a string being attached at both ends. This condition is often used to model a string that is fixed at both ends, such as a guitar string or a rope tied between two posts.

5. Are there different types of boundary conditions in non-relativistic strings?

Yes, there are different types of boundary conditions that can be used in non-relativistic strings. In addition to the fixed endpoint and zero tension conditions, other common types include free endpoint conditions (where the endpoints can move freely) and clamped endpoint conditions (where the endpoints are fixed and can't move). These different conditions can lead to different behaviors and motion of the string.

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