Quantizing a string in string theory

[ehrenfest]

Homework Statement

Can someone define the phrase "quantize a string" as seen at
http://books.google.com/books?id=Xm...gAQ&sig=Eqnkxjj7B9gc4-nig1fgUkk7AqQ#PPA206,M1
?

Homework Equations

The Attempt at a Solution

 

[Jimmy Snyder]

Can someone define the phrase "quantize a string"?

Quantizing a theory consists in two steps. One, the dynamic variables are turned into Hilbert space operators, and two the commutations relations among those operators are found.

Below equation (12.3) on page 207, it says:

As a first step in defining a quantum theory of the light-cone relativistic string, we must give the list of Shrodinger operators.

Then, below equation (12.5) on the same page it says:

Now we set up the commutation relations

And then the deed is done.