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STUDY OF DISSIPATION PROCESSES IN THE COLLECTIVE EXCITATIONS IN MANY-PARTICLE SYSTEMS

Research Project

Project/Area Number 10640279
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionTOKYO METROPOLITAN UNIVERSITY

Principal Investigator

SUZUKI Toru  Tokyo Metropolitan University, 大学院・理学研究科, 教授 (20175409)

Co-Investigator(Kenkyū-buntansha) AIBA Hirokazu  Tokyo Metropolitan University, 短期大学部, 助教授 (10221706)
YABU Hiroyuki  Tokyo Metropolitan University, 大学院・理学研究科, 助手 (60202371)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
KeywordsDissipation / Giant Resonance / Response Function / Bose-Einstein Condensation / Quantum Chaos / 有限量子多体系 / 集団励起状態 / 準位交叉
Research Abstract

(1) Model Study of the Dissipation in the Response Function
Response function of two-dimensional anharmonic oscillator was studied. The model allows a regular as well as chaotic properties depending on a single parameter. It was shown that the response shows generally a irregular pattern for a chaotic system, although there still remains a regular pattern which may be related to a persistent periodic orbit.
(2) Study of the Fluctuation in the Giant Resonance Strengths
Fluctuation properties of the strength function for giant quadrupole resonance in Calcium nuclei were studied based on the realistic Tamm-Dancoff calculation. Local scaling dimensions were calculated which suggests a possible doorway structure at a few MeV scale.
(3) Collective Excitations in a Trapped Bose-Fermi Gas of Atoms
Trapped alkali atomic gasses at a very low temperature is an example of a finite quantum many-body system, and shows a collective modes similar to giant resonances in nuclei. We considered a trapped Bose-Fermi mixed system and calculated static properties and collective excitations. We found that dipole out-of-phase oscillation of Bosons and Fermions becomes lower than the in-phase one, and also that the occurence of induced instability for a strong attractive Bose-Fermi interaction.
(4) Related Studies
We started some initial studies related to the present project which include : Feynman-Vernon influence functional approach to the decay of disoriented chiral condensates, study of the fluctuation of the strength functions in the random matrices, dissipation mechanism due to level crossings in the algebraic solvable model, etc.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] H.Aiba and T.Suzuki: "Response Function of an Irregular Oscillator"Physical Review E. 63. #026207 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Miyakawa,T.Suzuki and H.Yabu: "Sum Rule Approach to Collective Oscillations of Boson-Fermion Mixed Condensate of Alkali Atoms"Physical Review A. 62. #46012 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Suzuki: "Polarization Transfer Invariants at Forward Angle and Spin-Dependendent Excitations in Nuclei"Prog.Theor.Phys.. 103. 859-864 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Miyakawa,K.Oda,T.Suzuki and H.Yabu: "Static Properties of the Trapped Bose-Fermi Mixed Condensate of Alkali Metal Atoms"J.Phys.Soc.Jpn.. 69. 2779-2785 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Aiba and M.Matsuo: "Scaling analysis of the fluctuating strength function"Physical Review C. 60. #034037 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Kuratsuji and H.Yabu: "Nonlinear sigma model Lagrangian for superfluid He3-A(B)"J.Phys.A. 32. 7367-7374 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Yabu,T.Suzuki and H.Toki(ods.): "Spins in Nuclear and Hadronic Reactions"World Scientific Pub.(Singapore). 292 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Aiba and T.Suzuki: "Response Function of an Irregular Oscillator"Phys.Rev.. E63. #026207 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Miyakawa, T.Suzuki and H.Yabu: "Sum Rule Approach to Collective Oscillations of Boson-Fermion Mixed Condensate of Alkali Atoms"Phys.Rev.. A62. #046012 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Suzuki: "Polarization Transfer Invariants at Forward Angle and Spin-Dependendent Excitations in Nuclei"Prog.Theor.Phsy.. 103. 859-864 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Miyakawam K.Oda, T.Suzuki and H.Yabu: "Static Properties of the Trapped Bose-Fermi Mixed Condensate of Alkali Metal Atoms"J.Phys.Soc.Jpn.. 69. 2779-2785 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hirokazu Aiba and Masayuki Matsuo: "Scaling analysis of the fluctuating strength function"Physical Review. C60. #034037 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Kuratsuji and H.Yabu: "Dynamics of a vortex in two-dimensional superfluid 3He-A : Force caused by the 1 texture"Phys.Rev.. B59. 11175-11178 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Yabu and H.Kuratsuji: "Nonlinear sigma model Lagrangian for superfluid He3-A (B)"J.Phys.. A32. 7367-7374 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Yabu, T.Suzuki and H.Toki, eds.: "Spins in Nuclear and Hadronic Reactions"World Scientific (Singapore, 2000).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H Aiba & T.Suzuki: "Response Function of an Irregular Oscillator"Physical Review E. 63. #026207 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] T Miyatawa,T.Suzuki,H.Yabu: "SameRule Approach to Collective Oscillations of Basin-Fermion Mixed Condensate of Alkali Atoms"Phyical Review A. 62. #046012 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Miyakawa,K.Oda,T,Suzuki,H.Yabu: "Static Properties of the Trapped Base-Femi Mixed Condensate of Alkali Metal Atoms"J.Phys.Soc.Japan. 69. 2779-2785 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Yabu,T,Suzuki,H.Toki: "Spins in Nuclear and Hadronic Reactions"World Scientific Pub.. 292 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Suzuki: "Polarization Tranfer Invariants at For ward Ausles and Spin Dependent Excitations in Nuclei"Pros. Theor. Phys.. 104. in print (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Yabu, H.Kuratsuji: "NonPinear Sigma Model Lagrangian for Superfluid ^<-3>He-A"J. Phys. A. 32. 7367-7374 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Aiba, M.Matsuo: "Scaling Analysis of the Srength Function"Phys. Rev.. C60(発表予定). #034307 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Suzuki, H.Yabu, H.Toki, eds.: "Spins in Nuclear and Hadronic Reactions"World Scientific Publishing Co_<-1> Singapore.

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Suzuki: "One-and two-phonon spin-dependent excitations in polarized deuterm sraitening" in ‘New Facet of Spin Giant Resmances in Nuclei'. 403-413 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Kuratsuji, H.Yabu: "Dynamics of a Vortex in Tow-dimensional superfluid ^3He-A" Physical Review. B59(in print). (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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