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      The Morbid Equation of Quantum Numbers


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      Coulomb field; equivalent field; Schrödinger equation; quantized energy; incompatible quantum states

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          The quantum model of valence electron generation orbital penetration of alkali metal elements with unique stable structure is investigated. The electric field outside the atomic kernel is usually expressed by the Coulomb field of the point charge mode, and the composite electric field in atomic kernel can be equivalent to the electric field inside the sphere with uniform charge distribution or other electric fields without divergence point. The exact solutions of two Schrödinger equations for the bound state of the Coulomb field outside the atom and the binding state of the equivalent field inside the atom determine two different quantization energy formulas respectively. Here we show that the atomic kernel surface is the only common zero potential surface that can be selected. When the orbital penetration occurs, the law of conservation of energy requires that the two energy level formulas must have corresponding quantum numbers to make them equal. As a result, there is no solution to the quantum number equation, indicating that the two quantum states of the valence electron are incompatible. This irreconcilable contradiction shows that the quantized energy of quantum mechanics cannot absolutely satisfy the law of conservation of energy.

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          ScienceOpen Preprints
          21 December 2020
          [1 ] Wutong Mountain National Forest Park

          This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at .

          The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

          Education, Physics, Mathematics

          Coulomb field; equivalent field; Schrödinger equation; quantized energy; incompatible quantum states


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