Energy Spectrum of One-Dimensional Many Boson System
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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 ∑_p(p^2/2m)n_p + (π＼hbar/2mL) ×∑_<p,q>|p - q|n_pn_q + (1/6m)(π＼hbar/L)^2[(∑_pn_p)^3 - ∑p_n_p)] at the infinitely large limit of the coupling constant. This form is non-linear with respect to the numbers np of quasi-particles. The non-linear terms are Galilean-invariant and produce a phonon-like spectrum. In a case of a finite coupling contant g, the total energy is expanded to power series of (1/g).
- Oxford University Pressの論文
Oxford University Press | 論文
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