On global aspects of exact WKB analysis of operators admitting infinitely many phases

نویسندگان

  • Takashi AOKI
  • Takahiro KAWAI
  • Tatsuya KOIKE
  • Yoshitsugu TAKEI
  • Y. TAKEI
چکیده

A case-study of the Stokes geometry in the large is given for some concrete examples of WKB type operators that admit infinitely many phases. In all the examples discussed in this article virtual turning points and new Stokes curves emanating from them neatly resolve the trouble we encounter. Some computerassisted study of the configuration of the steepest descent paths is employed to show that the introduction of new Stokes curves is reasonable and appropriate to obtain the complete Stokes geometry.

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تاریخ انتشار 2003