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Zeta Functions for the Spectrum of the Non-Commutative Harmonic Oscillators

โœ Scribed by Takashi Ichinose; Masato Wakayama

Publisher
Springer
Year
2005
Tongue
English
Weight
376 KB
Volume
258
Category
Article
ISSN
0010-3616

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The Riemann zeta function has phase jumps of ? every time it changes sign as the parameter t in the complex argument s=1ร‚2+it is varied. We show analytically that as the real part of the argument is increased to \_>1ร‚2, the memory of the zeros fades only gradually through a Lorentzian smoothing of t