``The fundamental ploblem of mechanics'' and many-dimensional tunneling

2014 Fiscal Year Final Research Report

• Project/Area Number: 24340094
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Ritsumeikan University
• Principal Investigator: IKEDA Kensuke 立命館大学, 理工学部, 教授 (40151287)
• Co-Investigator(Kenkyū-buntansha): TAKAHASHI Kinya 九州工業大学大学院, 情報工学研究院, 教授 (70188001) ; SHUDO Akira 首都大学東京, 理工学研究科, 教授 (60206258)
• Research Collaborator: KETZMERICK R. Dresden工大, 理論物理教室, 教授 ; MOUCHET A. Francois Rabelais de Tours大学, 数物教室, 講師
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: カオス / 量子力学 / トンネル効果 / 半古典理論 / 複素力学系

Outline of Final Research Achievements

The nonintegrability, which was stressed by Poincare as ``the fundamental problem of classical mechanics'', is most sensitively detected by remarkable changes in quantum tunneling process, by distorting the complex phase space. Various phases of the paradoxical assertion are investigated.

Free Research Field

物理学