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Jun 6, 2020 at 15:24 comment added Tom Copeland Relevant article: “Quantization is a mystery” by Ivan Todorov: "Sect. 5 provides a review of second quantization and its mathematical interpretation. We point out that the treatment of (nonrelativistic) bound states requires going beyond the neat mathematical formalization of the concept of second quantization.". arxiv.org/abs/1206.3116
Jun 6, 2020 at 13:44 comment added md2perpe There are some papers targeted to mathematicians, e.g. Introduction to Quantum Field Theory for Mathematicians by Sourav Chatterjee.
Jun 6, 2020 at 3:53 history became hot network question
Jun 6, 2020 at 2:11 vote accept Dmitry Vaintrob
Jun 5, 2020 at 22:34 review Close votes
Jun 9, 2020 at 18:54
Jun 5, 2020 at 22:14 answer added Igor Khavkine timeline score: 10
Jun 5, 2020 at 21:42 comment added Michael Engelhardt A priori, it's neither clear what state you should be expanding about, nor what class of excitations you should be expanding in. You have to give your theory enough freedom to determine those things dynamically. In general, the vacuum will be nontrivial, and the excitations will be collective objects, not the "particles" whose wave functions you started out with.
Jun 5, 2020 at 21:30 comment added Willie Wong In case I am not the only one who got confused by what @Qfwfq meant by "S.'s equation" for more than a few minutes: S. is Schroedinger.
Jun 5, 2020 at 21:04 comment added Qfwfq (I took the liberty of adding the imaginary unit in S.'s equation, so our hamiltonians are self-adjoint)
Jun 5, 2020 at 21:03 history edited Qfwfq CC BY-SA 4.0
(minor nitpick: the imaginary unit, cause $H$ self-adjoint and $\exp(-itH)$ unitary)
Jun 5, 2020 at 20:33 comment added Aaron Bergman You’ve got it backwards. The globally defined (on spacetime) interacting fields are the fundamental object. Fock space is something that only shows up in a free field theory.
Jun 5, 2020 at 20:08 history edited Dmitry Vaintrob
added functional analysis tag
Jun 5, 2020 at 19:52 history asked Dmitry Vaintrob CC BY-SA 4.0