Theory of Sound Waves and collective Description
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概要
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The linearized equation of the density matrix is applied to generalize the theory of sound waves due to Bloch and Tomonaga. It has been shown that the true scattering matrix is given by the oscillator hamiltonian obtained by this method. The generalized theory of sound waves, which may be considered as a generalized Hartree approximation, is not only capable of yielding the correct plasma frequency and the screening interaction of metallic electrons but facilitates the analysis of the higher-order perturbation. The relationship to Bohm and Pines' collective description is pointed out and a polarization field is introduced in place of the longitudinal electric-field. As an example, we consider the electron-lattice interaction, and it has been shown that the stability of the atomic lattice increases under the influence of the Coulomb interaction. The limit of applicability of this method is examined by the theory of transformation function. In the Appendix, the correlation energies of some alkali metals are obtained.
- 理論物理学刊行会の論文
- 1955-07-00
著者
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NISHIYAMA Toshiyuki
Department of Physics, Osaka University
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NISHIYAMA Toshiyuki
Department of Physics and Applied Mathematics Osaka Institute of Technology
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