Quantizing a string in string theory involves transforming dynamic variables into Hilbert space operators and establishing the commutation relations among these operators. This process is essential for defining a quantum theory of the light-cone relativistic string. Key references include equations (12.3) and (12.5) from the text by Zwiebach, which outline the necessary steps and operators involved in this quantization process.
PREREQUISITESStudents and researchers in theoretical physics, particularly those focusing on quantum mechanics and string theory, will benefit from this discussion.
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.ehrenfest said:Can someone define the phrase "quantize a string"?
Zwiebach said:As a first step in defining a quantum theory of the light-cone relativistic string, we must give the list of Shrodinger operators.
And then the deed is done.Zwiebach said:Now we set up the commutation relations