Quantum Physics

   

SunQM-6s4: In {N,n} QM Field Theory, A Point Charge’s Electric Field Can Be Represented by Either the Schrodinger Equation/Solution, Or A 3D Spherical Wave Packet, In Form of Born Probability

Authors: Yi Cao

In the newly designed {N,n} QM field theory, the four fundamental forces were re-classified to be three pair of forces: E/RFe-force, G/RFg-force, S/RFs-force, and each pair of this force was hypothesized that can be represented by the Schrodinger equation/solution. In the current paper, I worked out that not only a point charge’s static electric field electric field strength E ∝ 1/r^2, but also its potential field U ∝ 1/r, can be reconstituted by using the H-atom’s Schrodinger equation/solution (in form of the radial Born probability density functions). A global fitting method was developed for this kind of curve fitting. In the reconstitution, the (normalized) radial Born probability density functions can be treated as the "unit vector base functions" of a high-dimensional Hilbert space (that covers from r → 0 to r = ∞). This result confirmed that, not only the point-centered mass (density) field (see SunQM-3 series), but also the point-centered force field (or potential field), can be directly described by Schrodinger equation/solution. The physical meaning of this result can be viewed in either the wave mechanics, or in the particle mechanics. This work also showed that all point-centered fields (including both the mass field and the force field) can be represented in the form of 3D spherical wave packet. Therefore, these two methods are equivalent. These results, plus the three pairs of force (E/RFe-force, G/RFg-force, S/RFs-force) description (see SunQM-6), the non-Born probability description (see SunQM-4 series) that equals to the re-explanation of the Born probability density as the collection of all elliptical orbital tracks (see SunQM-6s2), the 3D wave packet description and the dis-entanglement of the outmost shell (or the "general decaying" process, see SunQM-6s1, -6s2, -6s3, etc.), the "|nL0> elliptical/parabolic/hyperbolic orbital transition model" (see SunQM-6s2, -6s3), and the trick that using the high-frequency n’ to pin-point any small region in the {N,n} QM field (see SunQM-3s11, -6s1, etc.), all together they formed the foundation of the newly designed {N,n} QM field theory.

Comments: 24 Pages.

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[v1] 2023-06-23 20:06:24

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