Contextual logic for quantum systems by Domenech G., Freytes H.
By Domenech G., Freytes H.
During this paintings we construct a quantum good judgment that permits us to consult actual magnitudespertaining to various contexts from a set one with no the contradictionswith quantum mechanics expressed in no-go theorems. This common sense arises from consideringa sheaf over a topological area linked to the Boolean sublattices ofthe ortholattice of closed subspaces of the Hilbert house of the actual system.Different from typical quantum logics, the contextual good judgment keeps a distributivelattice constitution and a very good definition of implication as a residue of theconjunction
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2) ∫ 2 2 c 0 d The field E ⊥ (r, ) is proportional to J ⊥ n, , namely, the Fourier 2 c component for which k = . Factors of that multiply the Fourier c component of the current are due to the density of modes per unit volume and unit solid angle. An unaccelerated charge does not radiate in free space, not because it experiences no acceleration, but because it has no Fourier component J ⊥ n, . c Derivation of the Boundary Condition In general, radial solutions of the Helmholtz wave equation are spherical Bessel functions, Neumann functions, Hankel functions, associated Laguerre functions, and the radial Dirac delta function.
It is well known that fractional charge is not "allowed". The reason is that fractional charge typically corresponds to a radiative current density function. The excited states of the hydrogen atom are examples. They are radiative; consequently, they are not stable. Thus, an excited electron decays to the first nonradiative state corresponding to an integer field, n = 1. Equally valid from first principles are electronic states where the sum of the photon field and the central field are an integer.