The Extended Convolution Approximation as a Canonical Transformation in a Degenerate Boson System

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概要

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• The convolution approximations to the three-particle and four-particle structure functions are incorporated in a non-linear canonical transformation applicable to a system of degenerate bosons. the transformation relates the quasi-particle operators b_k to the density fluctuations ρ_k and their canonical conjugatesφ_k by way of a formal series in powers of N^< -1/2>, where N is the number of particles. Higher order terms in the series require corrections to the convolution approximations. The next order terms are calculated to improve the approximations to the structure functions. The present formalism provides an unambiguous way of evaluating the residual interaction not taken account of in the trial state, the b-vacuum, which admits the convolution approximation or its extension.

• 理論物理学刊行会の論文
• 1982-01-25

著者

• HIROOKA Masahiko

  Department of Physics, Osaka University

• Yamasaki Shuichiro

  College Of Bio-medical Technology Osaka University

• Hirooka Masahiko

  Department Of Physics College Of General Education Osaka University

• YAMASAKI Shuichiro

  Department of Physicsm, Osaka University

• YAMASAKI Shuichiro

  Department of Physics, College of General Education Osaka University:College of Bio-medical Technology, Osaka University

• HIROOKA Masahiko

  Department of Physics, College of General Education Osaka University

• YAMASAKI Shuichiro

  Department of Physics, College of General Education, Osaka University

関連論文

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• On the Interaction between Elementary Excitations in Many-Boson System
• Theory of Scattering in Three-Particle System and Its Application to Electron-Exciton Scattering
• Excitation-Modes and Their Interactions in a Many-boson System.II
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• On the Collective Variables in Many-Boson System
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