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Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1248-1264

Bose-Einstein Condensation and the Canonical Conjugates to the Density Fluctuations

Shuichiro Yamasaki and Masahiko Hirooka^*

College of Bio-medical Technology, Osaka University, Toyonaka 560
^*Department of Physics, College of General Education Osaka University, Toyonaka 560

(Received April 24, 1980)

Abstract:

Concrete expressions are given to the operators φ_k forming a set of canonically conjugate variables to the density fluctuations ρ_l in a Bose-Einstein condensed many-boson system. The Fourier transform of φ_k to the coordinate space admits in classical terms an interpretation as the phase of the boson field ψ(x). Various objections against the existence of canonically conjugate variables to the density are critically examined. They do not apply to the proposed operator φ_k which is non local and canonically conjugate only to the density fluctuation.

URL : http://ptp.ipap.jp/link?PTP/64/1248/
DOI : 10.1143/PTP.64.1248

[ Full Text PDF : FREE ACCESS (1140K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1521-1531 :

   Bose-Einstein Condensation and Quantum Hydrodynamics

   Masahiko Hirooka and Shuichiro Yamasaki

2. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1198-1216 :

   One-Dimensional Many Boson System. I

   Shosuke Sasaki and Takeji Kebukawa

3. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1200-1218 :

   Three-Particle Correlations in the Ground State of a Bose Fluid

   Shuichiro Yamasaki and Masahiko Hirooka

4. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 20-40 :

   The Extended Convolution Approximation as a Canonical Transformation in a Degenerate Boson System

   Shuichiro Yamasaki and Masahiko Hirooka

5. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1050-1069 :

   Ground-State Energy of a System of Interacting Bose Particles

   Masahiko Hirooka and Shuichiro Yamasaki

6. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1482-1503 :

   Quasi-Particle Description of a Degenerate System of Bosons

   Masahiko Hirooka and Shuichiro Yamasaki

7. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1087-1090 :

   Phonon Spectrum of a Degenerate System of Bosons at Finite Temperature

   Shuichiro Yamasaki

8. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 598-614 :

   A Microscopic Theory of Superfluids. II

   Shuichiro Yamasaki

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