Quantum theory of the two-dimensional interacting-boson system

Hsin-Fei Meng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


In this paper we expand the microscopic Hamiltonian of a self-interacting boson system in terms of the density and phase operators, which are canonical conjugates to each other. When higher-order terms are neglected, the Hamiltonian can be diagonalized. This method is applied to superfluid helium and the fractional quantum Hall effect. We shall first derive the expression of superfluid density for a two-dimensional (2D) system where canonical treatment has been lacking. We then reproduce the 3D results obtained by the Bogoliubov transformation. Finally, we shall show that the basic phenomenologies of the fractional quantum Hall effect at exact filling numbers can be derived without the introduction of the Chern-Simons term.

Original languageEnglish
Pages (from-to)1205-1210
Number of pages6
JournalPhysical Review B
Issue number2
StatePublished - 1 Jan 1994

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