Why Strings Vibrate - Uncertainty Principle & Interactions Explained

[ShayanJ]

In the thing I've read about string theory,nothing is mentioned about why do they vibrate.
Can we tell one reason is uncertainty principle?
And then interaction between them,changes patterns?
Is there other reasons?
thanks

 

[tom.stoer]

When quantizing the string you apply (nearly) the same formalism as for the simple harmonic oscilllator, so you get creation and annihilation operators which you interpret as "creating vibrations"

 

[ShayanJ]

I didn't understand completely.
I haven't heard about quantizing SHO!
Maybe you mean the harmonics of a string when you solve wave equation.

 

[tom.stoer]

yes, I mean the wave equation; but you will not be able to understand the quantized string w/o understanding the quantized SHO

 

[ShayanJ]

I guess you mean solving shcrodinger's equation with an potential function like the spring's.right?

 

[tom.stoer]

I mean the formalism of quantization plus the solution

http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator#Ladder_operator_method
http://www.ift.uni.wroc.pl/~rdurka/index/string.pdf

do you know the formalism with creation and annihilation operators?