• Corpus ID: 119727462

Zeta-Functions and Star-Products

@article{Antonsen1998ZetaFunctionsAS,
  title={Zeta-Functions and Star-Products},
  author={Frank Antonsen},
  journal={arXiv: Quantum Physics},
  year={1998}
}
  • F. Antonsen
  • Published 12 February 1998
  • Mathematics
  • arXiv: Quantum Physics
We use the definition of a star (or Moyal or twisted) product to give a phasespace definition of the $\zeta$-function. This allows us to derive new closed expressions for the coefficients of the heat kernel in an asymptotic expansion for operators of the form $\alpha p^2+v(q)$. For the particular case of the harmonic oscillator we furthermore find a closed form for the Green's function. We also find a relationship between star exponentials, path integrals and Wigner functions, which in a simple… 
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