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Regular Hamiltonians for non-relativistic interacting quantum field theories

Quantum Physics 2013-05-03 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In the context of non-relativistic quantum field theory, a method is proposed for multiplying field operators at the same spatial point and obtaining regular (i.e. rigorously defined) interaction terms for the Hamiltonian. The basic idea is to modify the Lebesgue measure of configuration space of many particles by adding singular measures over the subspaces of configuration space in which the positions of two or more particles coincide.

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Cite

@article{arxiv.1305.0495,
  title  = {Regular Hamiltonians for non-relativistic interacting quantum field theories},
  author = {Bruno Galvan},
  journal= {arXiv preprint arXiv:1305.0495},
  year   = {2013}
}

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22 + 9 pages