Excitonic Molecule. I. Calculation of the Binding Energy

Abstract

The binding energy of the excitonic molecule, a complex consisting of two electrons and two positive holes, is calculated as a function of the mass ratio m e / m h by avariational method. It is shown that the excitonic molecule is stable for any value of the mass ratio. For m e = m h , the binding energy is estimated to be 0.00684 \(m_{\text{e}}e^{4}/{\varepsilon_{0}}^{2}\hbar^{2}\). Some results about the wave function are also presented.