Energy Spectrum of One-Dimensional Many Boson System : Condensed Matter and Statistical Physics

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概要

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• An energy spectrum is exactly examined for a one-dimensional many boson system where bosons are interacting to each other through a delta-functional repulsive potential. After a unitary transformation, the Hamiltonian is diagonalized to be the following compact form Σ_p(p^2/2m)n_p+(π&plank;/2mL)×Σ_<p,q>∣p-q∣n_pn_q+(1/6m)(π /L)^2[(Σ_pn_p)^3-Σ_pn_p]at the infinitely large limit of the coupling constant. This form is non-linear with respect to the numbers n_p of quasi-particles. The non-linear terms are Galilean-invariant and produce a phonon-like spectrum. In a case of a finite coupling constant g, the total energy is expanded to power series of (1/g).

• 理論物理学刊行会の論文
• 1989-06-25

著者

• Sasaki S

  Osaka Univ. Osaka

• Sasaki Shosuke

  Department Of Physics College Of General Education Osaka University

• SASAKI Shosuke

  Department of Physics, College of Genaral Education Osaka University

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