Triplet 23S state of a quantum dot in a magnetic field: A ‘Quantal Newtonian’ first law study

Abstract

Abstract The triplet 2 3 S state of a 2-electron 2-dimensional quantum dot in a magnetic field is studied via a complementary perspective of Schrodinger–Pauli theory. The perspective is that of the individual electron via its equation of motion or ‘Quantal Newtonian’ first law. According to the law, each electron experiences an external and an internal field, the sum of which vanishes. The external field is the sum of the binding and Lorentz fields. The internal field is a sum of the electron-interaction, kinetic, differential density, and internal magnetic fields. The energy is expressed in integral virial form in terms of these fields. The quantal sources of the density; paramagnetic, diamagnetic, and magnetization current densities; pair-correlation density; the Fermi–Coulomb hole charge; and the single-particle density matrix are obtained, and from them the corresponding fields determined. The fields are shown to satisfy the first law.