Prog. Theor. Phys. Vol. 65 No. 6 (1981) pp. 1798-1819

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One-Dimensional Many Boson System. III

— Unitary Transformation and Exactly Dressed Bose Particle —

Shosuke Sasaki and Takeji Kebukawa

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

(Received February 10, 1981)

Abstract:

A unitary operator, which transforms free states into the exact eigenstates for a one-dimensional many boson system with repulsive delta-function potential, is explicitly constructed. By the unitary operator, original bare creation and annihilation operators are transformed into new operators which are shown to create or annihilate the exactly dressed bosons with the interaction cloud. The total Hamiltonian, total number and total momentum in the system are expressed in the diagonalized form in terms of the dressed operators. It is shown that the exact ground state is the condensed state of all exactly dressed bosons with zero momentum.

URL : http://ptp.ipap.jp/link?PTP/65/1798/
DOI : 10.1143/PTP.65.1798

References:

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. 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
Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1158-1173 :
Energy Spectrum of One-Dimensional Many Boson System

Shosuke Sasaki