Donatello Dolce,“Internal times” and how to second-quantize fields by means of periodic boundary conditions, Annals of Physics, 2023, 169398, ISSN 0003-4916,；https://doi.org/10.1016/j.aop.2023.169398.
Donatello Dolce,“Internal times” and how to second-quantize fields by means of periodic boundary conditions, Annals of Physics, 2023, 169398, ISSN 0003-4916,；https://doi.org/10.1016/j.aop.2023.169398.
Donatello Dolce,“Internal times” and how to second-quantize fields by means of periodic boundary conditions, Annals of Physics, 2023, 169398, ISSN 0003-4916,；https://doi.org/10.1016/j.aop.2023.169398.
Donatello Dolce,“Internal times” and how to second-quantize fields by means of periodic boundary conditions, Annals of Physics, 2023, 169398, ISSN 0003-4916,；https://doi.org/10.1016/j.aop.2023.169398.
Abstract
With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the formal equivalence obtained in previous papers for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman Path Integrals, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest.
Keywords
Foundations of Quantum Mechanics; Quantum Field Theory; Second Quantization; Commutation Relations; Relativistic Time; Finite Temperature Field Theory; Time Crystal
Subject
Physical Sciences, Theoretical Physics
Copyright:
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