Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

理论物理通讯：英文版

A Positronium Molecule Confined in a Two-Dimensional Space Under a Magnetic Field

Xie Wen

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Making use of hyperspherical coordinates,we investigate the qualitative features of the ground and low- lying states of a positronium molecule confined in a two-dimensional(2D)space under a magnetic field.We find that a positronium molecule has more bound states in 2D than in 3D.With the increase of the magnetic field,the second bound state experiences a transition in angular momentum.The result shows that symmetry plays an essential role in the energy spectrum of low-lying states.

Related papers

A Positronium Molecule Confined in a Two-Dimensional Space Under a Magnetic Field

Xie Wen-Fang

Making use of hyperspherical coordinates, we investigate the qualitative features of the ground and low-lying states of a positronium molecule confined in a two-dimensional (2D) space under a magnetic field. We find that a positronium molecule has more bound states in 2D than in 3D. With the increase of the magnetic field, the second bound state experiences a transition in angular momentum. The result shows that symmetry plays an essential role in the energy spectrum of low-lying states.

Communications in Theoretical Physics•Aug 15, 2004•1 citation

A Positronium Molecule Confined in a Two-Dimensional Space Under a Magnetic Field

Xie, Wen-Fang

Making use of hyperspherical coordinates, we investigate the qualitative features of the ground and lowlying states of a positronium molecule confined in a two-dimensional (2D) space under a magnetic field. We find that a positronium molecule has more bound states in 2D than in 3D. With the increase of the magnetic field, the second bound state experiences a transition in angular momentum. The result shows that symmetry plays an essential role in the energy spectrum of low-lying states.

理论物理通讯：英文版•Jan 1, 2004•0 citations

Feature of the low-lying states of a positronium molecule in a two-dimensional quantum well

Wenfang Xie

Making use of hyperspherical coordinates, the feature of the low-lying spectrum of a positronium molecule in a two-dimensional quantum well is investigated. The second bound state of a positronium molecule in a two-dimensional quantum well, with orbital angular momentum L = 1, is reported.

Journal of Physics B Atomic Molecular and Optical Physics•Jan 13, 2003•6 citations

Hyperspherical approach to a three-boson problem in two dimensions with a magnetic field

Seth T. Rittenhouse, Andrew Wray, B. L. Johnson

We examine a system of three-bosons confined to two dimensions in the presence of a perpendicular magnetic field within the framework of the adiabatic hyperspherical method. For the case of zero-range, regularized pseudopotential interactions, we find that the system is nearly separable in hyperspherical coordinates and that, away from a set of narrow avoided crossings, the full energy eigenspectrum as a function of the two-dimensional (2D) $s$-wave scattering length is well described by ignoring coupling between adiabatic hyperradial potentials. In the case of weak attractive or repulsive interactions, we find the lowest three-body energy states exhibit even-odd parity oscillations as a function of total internal 2D angular momentum and that for weak repulsive interactions, the universal lowest energy interacting state has an internal angular momentum of $M=3$. With the inclusion of repulsive higher angular momentum we surmise that the origin of a set of ``magic number'' states (states with anomalously low energy) might emerge as the result of a combination of even-odd parity oscillations and the pattern of degeneracy in the noninteracting lowest Landau level states.

arXiv:1511.05489•Physical Review A•Jan 14, 2016•6 citations

Feature of Low-Lying States of a Planar Three-Boson System

Xie Wen-Fang

The energy spectrum of the low-lying states of a system of three charged bosons confined in a two-dimensional harmonic trap is investigated as a function of the confinement strength ω 0 by means of the exact diagonalization of the Hamiltonian. The important feature of the low-lying states of three charged bosons in two-dimensional space is obtained via an analysis of the energy spectrum.

Communications in Theoretical Physics•Mar 1, 2006•0 citations

Feature of Low-Lying States of a Planar Three-Boson System

Xie Wen

The energy spectrum of the low-lying states of a system of three charged bosons confined in a two- dimensional harmonic trap is investigated as a function of the confinement strength ωo by means of the exact diagonal- ization of the Hamiltonian.The important feature of the low-lying states of three charged bosons in two-dimensional space is obtained via an analysis of the energy spectrum.

理论物理通讯：英文版•Jan 1, 2006•0 citations
Making use of hyperspherical coordinates,we investigate the qualitative features of the ground and low- lying states of a positronium molecule confined in a two-dimensional(2D)space under a magnetic field.We find that a positronium molecule has more bound states in 2D than in 3D.With the increase of the magnetic field,the second bound state experiences a transition in angular momentum.The result shows that symmetry plays an essential role in the energy spectrum of low-lying states.
We examine a system of three-bosons confined to two dimensions in the presence of a perpendicular magnetic field within the framework of the adiabatic hyperspherical method. For the case of zero-range, regularized pseudopotential interactions, we find that the system is nearly separable in hyperspherical coordinates and that, away from a set of narrow avoided crossings, the full energy eigenspectrum as a function of the two-dimensional (2D) sss-wave scattering length is well described by ignoring coupling between adiabatic hyperradial potentials. In the case of weak attractive or repulsive interactions, we find the lowest three-body energy states exhibit even-odd parity oscillations as a function of total internal 2D angular momentum and that for weak repulsive interactions, the universal lowest energy interacting state has an internal angular momentum of M=3M=3M=3. With the inclusion of repulsive higher angular momentum we surmise that the origin of a set of ``magic number'' states (states with anomalously low energy) might emerge as the result of a combination of even-odd parity oscillations and the pattern of degeneracy in the noninteracting lowest Landau level states.