• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2010 Fiscal Year Final Research Report

Multi-dimensional tunnelling and chaos in complexified phase space

Research Project

  • PDF
Project/Area Number 20340100
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionRitsumeikan University

Principal Investigator

IKEDA Kensuke  Ritsumeikan University, 理工学部, 教授 (40151287)

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Kin'Ya  九州工業大学, 情報工学部, 准教授 (70188001)
SHUDO Akira  首都大学東京, 大学院・理工学研究科, 教授 (60206258)
ISHII Yutaka  九州大学, 大学院・ 数理学研究院, 准教授 (20304727)
Research Collaborator HYOUGUCHI Tadanori  立命館大学, 総合理工学研究機構, リサーチアシスタント
Project Period (FY) 2008 – 2010
Keywords非平衡・非線形物理学 / カオス / トンネル効果 / 半古典理論 / 複素力学系理論
Research Abstract

There are no orbits in quantum world. It reveals that the tunnelling phenomena, a most wanderful quantum phenomenon, can be completely understood in terms of the orbits which are running in the "complexified space",even when the system exhibits very complex chaos motion.

  • Research Products

    (12 results)

All 2011 2010 2009 2008

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Book (2 results)

  • [Journal Article] Structural change of the tunneling spectrum with perturbation frequency2010

    • Author(s)
      高橋公也,池田研介
    • Journal Title

      J.Phys.A 43巻

      Pages: 192001-192010

    • Peer Reviewed
  • [Journal Article] Dynamical tunneling in many-dimensional chaotic systems2010

    • Author(s)
      石川明幸,田中篤司,首藤啓
    • Journal Title

      Physical Review Letters 104巻

      Pages: 224102(4)

    • Peer Reviewed
  • [Journal Article] Recovery of chaotic tunneling due to destruction of dynamical localization by an external noise2009

    • Author(s)
      石川明幸,田中篤司,首藤啓
    • Journal Title

      Physical Review E 80巻

      Pages: 046204(13)

    • Peer Reviewed
  • [Journal Article] Julia set and chaotic tunnelling I2009

    • Author(s)
      首藤啓,石井豊,池田研介
    • Journal Title

      J.Phys.A 42巻

      Pages: 265101-1-26

    • Peer Reviewed
  • [Journal Article] Spectroscopic signature of the transition in a tunnaling mechanism from the instanton path to a complexified stable-unstable manifolds.2009

    • Author(s)
      高橋公也,池田研介
    • Journal Title

      Phys.Rev.A 79巻

      Pages: 052114-1-5

    • Peer Reviewed
  • [Journal Article] Overlooked Branch Cut in Steepest Descent Method-Switching Line and Atomic Domain-2009

    • Author(s)
      俵口忠功,瀬戸亮平,足立聡
    • Journal Title

      Prog.Theor.Phys. 122巻

      Pages: 1311-1346

    • Peer Reviewed
  • [Journal Article] Overlooked Degree of Freedom in Steepest Descent Method-Steepest Descent Method Corresponding to Divergence-Free WKB Method-2009

    • Author(s)
      俵口忠功,瀬戸亮平,足立聡
    • Journal Title

      Prog.Theor.Phys. 122巻

      Pages: 1347-1376

    • Peer Reviewed
  • [Journal Article] Chaos attracts tunneling trajectories : aniversal mechanism ofchaotic tunneling2008

    • Author(s)
      首藤啓,石井豊,池田研介
    • Journal Title

      Euro.Phys.Letter 81巻

      Pages: 50003-50007

    • Peer Reviewed
  • [Journal Article] Stokes geometry for the quantum H' enon map2008

    • Author(s)
      首藤啓,池田研介
    • Journal Title

      Nonlinearity 21巻

      Pages: 1831-1880

    • Peer Reviewed
  • [Journal Article] A plateau structure in the tunnelling spectrum as a manifestation of a new tunnelling mechanism in multi-dimensional barrier systems2008

    • Author(s)
      高橋公也,池田研介
    • Journal Title

      J.Phys.A 41巻

      Pages: 095101-095135

    • Peer Reviewed
  • [Book] Dynamical Tunneling : Theory and Experiment7章(P.Schlagheck and S.Keshavamurthy 編)2011

    • Author(s)
      首藤啓,池田研介
    • Total Pages
      139-17
    • Publisher
      CRC Press
  • [Book] Dynamical Tunneling : Theory and Experiment5章(P.Schlagheck and S.Keshavamurthy 編)2011

    • Author(s)
      高橋公也
    • Total Pages
      95-117
    • Publisher
      CRC Press

URL: 

Published: 2012-01-26   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi