Spin potential

In the realistic case where the potential is spin-dependent, the spin-orbit method is in trouble (should the spin-orbit parameter be calculated with the up or the down spin potential ). The present formalism allows for the use of spin-dependent potential and wavefunctions. 

Vargas, R., Galvan, M., Vela, A., 1998, Singlet-Triplet Gaps and Spin Potentials , J. Phys. Chem. A, 102, 3134. 

Spin potential, spin hardness, spin-donicity, and spin-philicity indexes have also been applied successfully to other specific problems [19,23,24]. 

Spin-potential in density functional theory framework... 

For such a process, Galvan et al. [32] wrote the spin potential as... 

As a first order approximation, the SP-DFT approach connects the spin-potential directly with the singlet-triplet excitation energy. Thus, the gap defined by the highest beta occupied molecular orbital, HOMO, and the... 

Table 2 Spin-potential, e iMC) — eHOMO SaP an< singlet-triplet excitation energy, AE, for Ca, Sr and Ba The confinement radius, Rc, is reported in atomic units and the other quantities in eV...

Figure 5 Excitation energy versus spin-potential for Ca (circles), Sr (squares) and Ba (triangles).

Finally, with regard to (iii), after the discovery of the spin-1/2 character of the electron and the associated magnetic moment, it was obvious that spin-dependent terms must be added to U]j, corresponding to the interaction of the magnetic field produced by "1" with the magnetic moment of "2" and vice versa. This led to the now familiar spin-other-orbit and spin-spin potentials and gave... 

If one adopts a spin-spin potential analogous to the Breit-Fermi contact term in atomic physics, namely [103]... 

So far, the applications of the spin-spin potential (11.4) were restricted to mass splittings such as A-N. We now look at the effect of the hyperfine interactions on the wave function of the neutron. The spin-spin potential pushes the d quarks apart a little. In more technical terms, some mixed-symmetry components are introduced into the wave function. 

In fact the spin-spin potential (11.4), which we repeatedly used throughout this chapter, is only a part of the chromomagnetic interaction... 

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