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Prog. Theor. Phys. Vol. 81 No. 6 (1989) pp. 1158-1173

Energy Spectrum of One-Dimensional Many Boson System

Shosuke Sasaki

Department of Physics, College of General Education, Osaka University, Toyonaka 560

(Received March 1, 1989)

Abstract:

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(p²/2m)n_p + (π\hbar/2mL) ×∑_p,q|p - q|n_pn_q + (1/6m)(π\hbar/L)²[(∑_pn_p)³ - ∑_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 contant g, the total energy is expanded to power series of (1/g).

URL : http://ptp.ipap.jp/link?PTP/81/1158/
DOI : 10.1143/PTP.81.1158

[ Full Text PDF : FREE ACCESS (584K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Journal of the Physical Society of Japan 59 (1990) pp. 1593-1599 :

   Thermodynamic Functions of One-Dimensional Many-Boson System

   Shosuke Sasaki and Tosaku Kunimasa

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