1. Further, the scalar potential is the fundamental quantity in quantum mechanics. 2. Scalar potentials play a prominent role in many areas of physics and engineering.3. In mathematics, vector potential and scalar potential have more general meanings .) 4. |4 = In regions far from electric charge the scalar potential becomes zero. 5. With some care the scalar potential can be extended to include free currents as well. 6. The corresponding scalar potential ( the potential energy of the non-central body ) is: 7. The magnetic scalar potential model consists of the Gauss coefficients which define a spherical harmonic expansion of V 8. Where is the scalar potential and the vector potential, the components of the canonical momentum four-vector is 9. Factor out the scalar potential and assign the leftovers, which are constant, to \ kappa ^ 2. 10. Where \ mathbf { \ Phi } is a harmonic vector potential and \ chi is a harmonic scalar potential .
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