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Questions on various methods and aspects of quantization
13
votes
The Planck constant for mathematicians
On the mathematics side, things are not so straightforward, mainly because, as mentioned by the OP,
there are various forms of quantization for classical Hamiltonian systems. … (For example, this is the case in frame of deformation quantization; Moyal bracket reduces to Poisson bracket up to $\hbar^2$ in this setting). …
7
votes
What is the relation between BRST quantization and gauge fixing quantization
I do not think that it makes sense to say that the gauge-fixing is a special case of BRST quantization:
$\rightarrow$ The gauge-fixing procedure is actually a normalization technique and it is utilized … in order to eliminate unphysical degrees of freedom (gauge directions) in the path integral quantization of the various gauge theories. …