I've heard that the quantum mechanics of particles in a potential is called 1(adsbygoogle = window.adsbygoogle || []).push({}); ^{st}quantization which produces wavefunctions. And I've heard that quantum field theory is called 2^{nd}quantization which in turn quantizes the wavefunctions. Can this process be iterated to give 3^{rd}quantization, and what would that tell us?

As I understand it, 1st quantization gives distribution functions for variables such as position and momentum. And 2^{nd}quantization uses the functions of 1st quantization to get distribution functions for fields that can be used to calculate the excitation modes of fields that are interpreted as particles. Would 3^{rd}quantization tell us which fields are allowed to exist in the first place that are then used in 2^{nd}quantization? If so, then it seems to me that a 3^{rd}quantization procedure might give us a relationship between QFT fields so that if we measured a property of one kind of field (say the EM field), it would automatically give us the properties of other kinds of fields (say the Strong Force) by means of this relationship between the kinds of fields that are allowed to exist. Any literature on this out there? Thanks.

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# What is 3rd quantization and what can be learned from it?

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