On The Spectral Zeta Function For The Noncommutative Harmonic Oscillator

Takashi Ichinose, Masato Wakayama

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


The spectral zeta function for the so-called noncommutative harmonic oscillator is able to be meromorphically extended to the whole complex plane, having only one simple pole at the same point s = 1 where Riemann's zeta function ζ(s) has, and possesses a trivial zero at each nonpositive even integer. The essential part of its proof is sketched. A new result is also given on the lower and upper bounds of the eigenvalues of the noncommutative harmonic oscillator.

Original languageEnglish
Pages (from-to)421-432
Number of pages12
JournalReports on Mathematical Physics
Issue number3
Publication statusPublished - Jun 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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