Prog. Theor. Phys. Vol. 65 No. 4 (1981) pp. 1217-1236

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One-Dimensional Many Boson System. II

— Orthogonality of Eigenstates and Their Level Structure —

Shosuke Sasaki and Takeji Kebukawa

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

(Received October 21, 1980)

Abstract:

The analysis for the Lieb and Liniger model is continued on the basis of the result in the preceding paper. It is verified that two eigenstates specified with different sets of quantum numbers are orthogonal to each other. The ground state is shown to be specified by quantum numbers with zero values. The energy levels are investigated systematically.

URL : http://ptp.ipap.jp/link?PTP/65/1217/
DOI : 10.1143/PTP.65.1217

References:

S. Sasaki and T. Kebukawa, Prog. Theor. Phys. 65 (1981), 1198[PTP].
E. H. Lieb and W. Liniger, Phys. Rev. 130 (1963), 1605[APS].
M. Girardeau, J. Math. Phys. 1 (1960), 516[CrossRef].
S. Sasaki and T. Kebukawa, submitted to Prog. Theor. Phys.
E. H. Lieb, Phys. Rev. 130 (1963), 1616[APS].
S. Sasaki and T. Kebukawa, submitted to Prog. Theor. Phys.

Citing Article(s) :

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
Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1198-1216 :
One-Dimensional Many Boson System. I

Shosuke Sasaki and Takeji Kebukawa
Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1798-1819 :
One-Dimensional Many Boson System. III

Shosuke Sasaki and Takeji Kebukawa
Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 831-851 :
One-Dimensional Many Boson System. IV

Shosuke Sasaki and Takeji Kebukawa
Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1098-1121 :
One-Dimensional Many-Fermion System. I

Takeji Kebukawa