Spin-Flip Operator in Two Electron Hopping System

D. R. Su

《Chinese Journal of Physics》 30卷3期 (1992/06) Pp. 357-387

並列摘要

For a hvo electron hopping system we work the spin parts within the framework of quantum mechanics by taking the spin-flip operators as a part of the Hamiltonian. The system of two electrons hopping in a magnetic field with the dipole-dipole interaction each other and with a spin-flip perturbation is modelled. For the positive dipole-dipole interactions, we have derived a formula to determine the magnitude of the spin-flip operators. For free spin systems without the dipole-dipole interactions, we find also the solutions for the systems obeying the nowadays Pauli exclusion principle as recalled in this paper. When the spin-flips are tuned off mathematically, the system is not able to return back to usual no spin-flip case by possibly leaving with some residual effects or results in the wave function descriptions of the system. We find that these effects are even not satisfied by the so-called extended symmetrization principle as defined and proposed in this paper. This is a new consequence.