**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31100

##### Energy-Level Structure of a Confined Electron-Positron Pair in Nanostructure

**Authors:**
Tokuei Sako,
Paul-Antoine Hervieux

**Abstract:**

The energy-level structure of a pair of electron and positron confined in a quasi-one-dimensional nano-scale potential well has been investigated focusing on its trend in the small limit of confinement strength *ω*, namely, the Wigner molecular regime. An anisotropic Gaussian-type basis functions supplemented by high angular momentum functions as large as* l* = 19 has been used to obtain reliable full configuration interaction (FCI) wave functions. The resultant energy spectrum shows a band structure characterized by *ω *for the large *ω* regime whereas for the small *ω* regime it shows an energy-level pattern dominated by excitation into the in-phase motion of the two particles. The observed trend has been rationalized on the basis of the nodal patterns of the FCI wave functions.

**Keywords:**
Quantum Dots,
Positron,
confined systems,
wave function,
Wigner molecule

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1090787

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