Closed Path Integrals and Renormalisation in Quantum Mechanics

H. Jirari; H. Kröger; X. Q. Luo; K. J. M. Moriarty; S. G. Rubin

doi:10.1103/PhysRevLett.86.187

Closed Path Integrals and Renormalisation in Quantum Mechanics

High Energy Physics - Theory 2016-08-15 v2 Quantum Physics

Authors: H. Jirari , H. Kröger , X. Q. Luo , K. J. M. Moriarty , S. G. Rubin

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Abstract

We suggest a closed form expression for the path integral of quantum transition amplitudes. We introduce a quantum action with renormalized parameters. We present numerical results for the $V \sim x^{4}$ potential. The renormalized action is relevant for quantum chaos and quantum instantons.

Keywords

quantum mechanics potentials renormalization in quantum field theory

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@article{arxiv.hep-th/9910141,
  title  = {Closed Path Integrals and Renormalisation in Quantum Mechanics},
  author = {H. Jirari and H. Kröger and X. Q. Luo and K. J. M. Moriarty and S. G. Rubin},
  journal= {arXiv preprint arXiv:hep-th/9910141},
  year   = {2016}
}

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Revised text, 1 figure added; Text (LaTeX file), 1 Figure (ps file)

Closed Path Integrals and Renormalisation in Quantum Mechanics

Abstract

Keywords

Cite

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