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Point interactions in one dimension and holonomic quantum fields

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Publication:867315
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DOI10.1007/s11005-006-0081-7zbMath1108.81037arXivmath-ph/0510095OpenAlexW2090507628MaRDI QIDQ867315

Oleg Lisovyy

Publication date: 15 February 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0510095


zbMATH Keywords

Schrödinger operatorspoint interactionstau functions


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Model quantum field theories (81T10)


Related Items (1)

On Painlevé VI transcendents related to the Dirac operator on the hyperbolic disk



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Tau functions for the Dirac operator in the Euclidean plane
  • Determinants of Cauchy-Riemann operators as \(\tau\)-functions
  • Loop groups and equations of KdV type
  • Holonomic quantum fields. II: The Riemann-Hilbert problem
  • Holonomic quantum fields. III
  • Holonomic quantum fields. IV
  • Holonomic quantum fields. V
  • Holonomic quantum fields. I
  • Differential equations for sine-Gordon correlation functions at the free fermion point
  • Tau functions and the twistor theory of integrable systems.


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