The three-fermion problem in two and three dimensions; a unified variational approach

Amir A. Farajian, Keivan Esfarjani, Yoshiyuki Kawazoe

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A new variational method is proposed to solve the three-fermion problem, in which two of the particles have the same mass. We obtain the total energy of the system for all masses in two and three spatial dimensions. In this way we can calculate the energies and wavefunctions of a wide range of systems including H-, the charged exciton, H2+ and many others, in a unified manner. The scaling properties of total energy, wavefunction, and effective potential are derived and the relevant scaling parameters are introduced.

Original languageEnglish
Pages (from-to)749-756
Number of pages8
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume32
Issue number3
DOIs
Publication statusPublished - 1999 Feb 14

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

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