• 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…
2 Citations
Fractal Supersymmetric Qm, Geometric Probability and the Riemann Hypothesis
The Riemann's hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn=1/2+iλn. Earlier work on the RH based on supersymmetric QM, whose potential was related
Deformation Quantization of Classical Fields
• Physics
• 2001
We study the deformation quantization of scalar and Abelian gauge classical free fields. Stratonovich–Weyl quantizer, star products and Wigner functionals are obtained in field and oscillator

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