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Micro-macro transition and quantum field theory

Research Project

Project/Area Number 10044096
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionWaseda University

Principal Investigator

NAKAZATO Hiromichi  Waseda University, School of Science and Engineering, Associate Professor, 理工学部, 助教授 (00180266)

Co-Investigator(Kenkyū-buntansha) IMAFUKU Kentaro  Waseda Univ., School of Sci. & Eng., Assistant, 理工学部, 助手 (10298169)
OHBA Ichiro  Waseda Univ., School of Sci. & Eng., Professor, 理工学部, 教授 (10063695)
RAUCH Helmut  オーストリア国立原子炉研究所, 教授
CEA Paolo  バリ大学, 物理, 講師
PASCAZIO Sav  バリ大学, 物理, 講師
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1999: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1998: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordsquantum mechanics / dissipative process / tunneling phenomena / neutron experiments / stochastic process
Research Abstract

The final goal of this project shall be to understand the behaviors of macroscopic and/or mesoscopic systems consistently from the view point of micro-macro transition and to establish quantum theories for such systems. We have inverstigated several topics that are closely connected to the fundamental issues of quantum mechanics, and here is a summary of the results of the project. 1. We have studied the temporal brhaviors of quantum (unstable) systems to obtain a better understanding of the mechanism of losing the quantum coherence to give exponential decay. 2. A neutron-spin experiment, proposed to test the so-called quantum Zeno effect, has been reanalyzed by taking into account of the possible reflection effect of neutron caused at the boundaries of the magnetic field. It has turned ouf that the effect can become so important that the survival probability of the neutron is completely different from the ideal value. 3. The Nelson stochastic quantization method has been used for extracting information about time in quantum systems. In particular, we have tried to estimate the so-called tunneling time, by applying an oscillating external perturbation to the barrier potential. 4. The stochastic resonance, a phenomenum where a noise can enhance the response to a tiny signal, well known in broad area in classical mechanics, is formulated and analyzed quantum mechanically. 5. A quantum nonlinear optical system is proposed to realize a quantum mechanical analogue of the inverted pendulum in classical mechanins. It is shown that the system, which otherwise produces exponentially growing number of two modes of photons through the nonlinear down-conversion process, can be stabilized by applying periodically a linear coupling between the two modes.

Report

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

    (25 results)

All Other

All Publications (25 results)

  • [Publications] H. Nakazato: "Time development of a wave packet in potential scattering"Proc. Int. Symp. "Symmetries in Science X". 305-314 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M.Namiki: "Time symmetry and quantum dephasing"Proc. Int. Symp. "Symmetries in Science X". 315-323 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] I. Ohba: "A novel method to quantize systems of damped motion and its application to Nelson's quantum mechanics"Proc. Int. Symp. "Symmetries in Science X". 325-336 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Pascazio: "Temporal behavior of quantum systems and quantum Zeno effect"Proc. Int. Symp. "Symmetries in Science X". 337-344 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Yuasa: "Stochastic quantization of bottomless systems-Stationary quantities in a diffusive process-"Prog. Theor. Phys.. 104. 719-727 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Machida: "Reflection and transmission in a neutron-spin test of the quantum Zeno effect"Phys. Rev. A. 60. 3448-3460 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nakazato: "Two-level system with a noisy Hamiltonian"J. of Superconductivity. 12. 843-849 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nakazato: "Time development of a wave packet in potential scattering"in Proc. Int. Symp. "Symmetries in Science X," edited by B. Gruber and M. Ramek (Plenum Pub.. New York, 1998). 305-314

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Namiki, H. Nakazato and S. Pascazio: "Time symmetry and quantum dephasing"n Proc. Int. Symp. "Symmetries in Science X," edited by B. Gruber and M. Ramek (Plenum Pub.. New York, 1998). 315-323

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] I. Ohba: "A novel method to quantize systems of damped motion and its application to Nelson's quantum mechanics"n Proc. Int. Symp. "Symmetries in Science X," edited by B. Gruber and M. Ramek (Plenum Pub.. New York, 1998). 325-336

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S. Pascazio, H. Nakazato and M. Namiki: "Temporal behavior of quantum systems and quantum Zeno effect"n Proc. Int. Symp. "Symmetries in Science X" edited by B. Gruber and M. Ramek (Plenum Pub.. New York, 1998). 337-344

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Yuasa and H. Nakazato: "Stochastic quantization of bottomless systems -Stationary quantities in a diffusive process-"Prog. Theor. Phys.. 104 No. 4. 719-727 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Machida, H. Nakazato, S. Pascazio, H. Rauch and S. Yu: "Reflection and transmission in a neutron-spin test of the quantum Zeno effect"Phys. Rev. A. 60 No. 5. 3448-3460 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nakazato and S. Pascazio: "Two-level system with a noisy Hamiltonian"J. of Superconductivity. 12 No. 6. 843-849 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Yuasa: "Stochastic quantization of bottomless systems-Stationary quantities in a diffusive process-"Progress of Theoretical Physics. 104・4. 719-727 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Machida: "Reflection and transmission in aneutron-spin test of the quantum Zeno effect"Physical Review A. 60・5. 3448-3460 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nakazato: "Two level system with a noisy Hamiltonian"Journal of Superconductivity. 12・6. 843-849 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nakazato: "Jime development of a voave packot in pvtential scattering" Proc.Int.Symp.“Symmetries in Science X". 305-314 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Namiki: "Time symmltry and quantum dephasing" Proc.Int.Symp.“Symmetries in Science X". 315-323 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.Pascazio: "Tenporal behauior of quantum systems and quantum Zeno effect" Proc.Int.Symp.“Symmetries in Science X". 337-344 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] P.Facchi: "Temporal behauior and yuantem Zeno time of an enited state of the hydrogen atom" Physics Letters A. 241・3. 139-144 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Agodi: "The λφ^4_4 theary on the lattice:effective potentical and triviality" Nuclear Physis B,Proc.Suppl.63. 637-639 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] P.Cea: "Vnstable motes and confinement in the lattice Schio^^‥dinger fuartinse approach" Modern Physics Letters A. 13・11. 861-871 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] P.Cea: "Spntaesus generation of magnetic field in three dimensiose QED at finite temparature" Physics Letters B. 425・3/4. 345-350 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] P.Cea: "First lettice evidence for a nontrivial renormalization of the Higgs andensate" Modern Physics Letters A. 13・29. 2361-2367 (1998)

    • Related Report
      1998 Annual Research Report

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

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