Variational Calculation for Bound States in an Electric-Dipole Field
- 15 August 1966
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 45 (4) , 1142-1144
- https://doi.org/10.1063/1.1727729
Abstract
The quantum‐mechanical problem of an electron moving in the field of a permanent electric dipole has been investigated in an attempt to determine whether negative energy eigenvalues, i.e., bound states, exist for small dipole moments. When the expectation value of the Hamiltonian is minimized in a variational calculation and then set equal to zero, the solution of the resulting equation gives a value of the dipole moment which is sufficient to assure the existence of a bound state. Use of the trial wavefunction ψ=exp (—αrt) (C0Y00+C1Y10) shows that 1.65×10−18 esu·cm is sufficient.Keywords
This publication has 3 references indexed in Scilit:
- Electron Capture by Rotational Excitation of Polar MoleculesPhysical Review B, 1966
- Interaction of Low-Energy Electrons with Water Vapor and with Other Polar MoleculesThe Journal of Chemical Physics, 1963
- Energy levels of an electron in the field of a finite dipoleJournal of Molecular Spectroscopy, 1960