Towards Quantum Field Theory in Categorical Quantum Mechanics

@inproceedings{Gogioso2017TowardsQF,
  title={Towards Quantum Field Theory in Categorical Quantum Mechanics},
  author={Stefano Gogioso and Fabrizio Genovese},
  year={2017}
}
  • Stefano Gogioso, Fabrizio Genovese
  • Published 2017
  • Mathematics, Physics
  • In this work, we use tools from non-standard analysis to introduce infinite-dimensional quantum systems and quantum fields within the framework of Categorical Quantum Mechanics. We define a dagger compact category $^\star\!\operatorname{Hilb}$ suitable for the algebraic manipulation of unbounded operators, Dirac deltas and plane-waves. We cover in detail the construction of quantum systems for particles in boxes with periodic boundary conditions, particles on cubic lattices, and particles in… CONTINUE READING
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