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The Spherical Solution of Schrödinger Equation Does not Agree with Any Experiment: Toward New Energy Methods Based on George Shpenkov’s Wave Equation

Victor Christianto

Published Apr 1, 2014• 1 citation
OpenAlex

Abstract

In light of the fact that our world requires new energy supply in order to replace fossil based energy, then it seems that new theory is badly needed – because it is often true that new energy requires new theory. And new theory can only come from new insights. In this paper, I will review the inadequacy of spherical solution of Schrodinger equation to say anything about the structure of molecules. It is a common fact, that the spherical solution of Schrodinger equation is hardly discussed properly in many quantum mechanics textbooks, with excuse that it is too complicated. Then I will discuss George Shpenkov’s wave equation which is able to derive the periodic table of elements, and other phenomena related to the structure of molecules, which is an elusive dream from the viewpoint of quantum mechanics. It is argued here that one can expect to arrive at new energy methods using this wave equation as starting point, for instance by virtue of resonance vibration theory. Nonetheless, it is not our view here that the Shpenkov’s wave equation can substitute wave mechanics completely, instead we prefer to say that it can be a complementary approach of wave mechanics. By referring to Schrodinger’s dream in his 1926 paper to find connection between his wave mechanics and vibration frequency, I think that Shpenkov’s wave equation can fulfill that dream.

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In light of the fact that our world requires new energy supply in order to replace fossil based energy, then it seems that new theory is badly needed – because it is often true that new energy requires new theory. And new theory can only come from new insights. In this paper, I will review the inadequacy of spherical solution of Schrodinger equation to say anything about the structure of molecules. It is a common fact, that the spherical solution of Schrodinger equation is hardly discussed properly in many quantum mechanics textbooks, with excuse that it is too complicated. Then I will discuss George Shpenkov’s wave equation which is able to derive the periodic table of elements, and other phenomena related to the structure of molecules, which is an elusive dream from the viewpoint of quantum mechanics. It is argued here that one can expect to arrive at new energy methods using this wave equation as starting point, for instance by virtue of resonance vibration theory. Nonetheless, it is not our view here that the Shpenkov’s wave equation can substitute wave mechanics completely, instead we prefer to say that it can be a complementary approach of wave mechanics. By referring to Schrodinger’s dream in his 1926 paper to find connection between his wave mechanics and vibration frequency, I think that Shpenkov’s wave equation can fulfill that dream.
In this paper, I will review some inadequacies of Schrödinger equation. Then I will discuss George Shpenkov’s interpretation of classical wave equation and two other authors’ wave equations. According to Shpenkov, the classical wave equation is able to derive a periodic table of elements -which is close to Mendeleyev’s periodic table-, and also other phenomena related to the structure of molecules. It is argued here that one may arrive at new energy methods using this classical wave equation as starting point. It is suggested that Shpenkov’s interpretation of classical wave equation can complement Schrödinger equation.
In this paper, I will review some inadequacies of Schrodinger equation. Then I will discuss George Shpenkov's interpretation of classical wave equation and two other authors' wave equations. According to Shpenkov, the classical wave equation can be used to derive a periodic table of elements -which is close to Mendeleyev's periodic table-, and also other phenomena related to the structure of molecules. It is argued here that one may arrive at new energy methods using this classical wave equation as starting point. It is suggested that Shpenkov's interpretation of classical wave equation can complement Schrodinger equation.
In a recent paper, it has been argued that QM can arise from classical cellular automata. This is a fresh approach started by some authors including Prof. Gerard ‘t Hooft. Nonetheless, in a previous paper, we have reviewed some inadequacies of Schrodinger equation, hence the entire wave mechanics. According to Shpenkov, the classical wave equation is able to derive a periodic table of elements -which is close to Mendeleyev’s periodic table-, and also other phenomena related to the structure of molecules. It is suggested that Shpenkov’s interpretation of classical wave equation can complement Schrodinger equation. Therefore in this paper we will discuss how we can arrive to a cellular automaton molecular model starting from classical wave equation, as an alternative to cellular automata based QM.
It is an unavoidable question raised by Albert Einstein if quantum theory is complete. The wavefunctions of elements are now constructed from fitting the experimental data which has made quantum chemistry empirical for almost all elements and molecules. It is our best interest to come up with a simpler model to fit the data regardless of our wish to understand reality in a more intuitive and accurate way than classical quantum mechanics. In this manuscript, I proposed an equation that quantizes the energies orders of magnitude faster than classical quantum mechanics. I assumed that the energy density distributions along space and time in a quantum system are uniform according to the 1st law of thermodynamics. Thus, the complementary energy contributions are added to the classical solutions of the 1D particle in a box problem, making the energy density a complex distribution function over space and time. Then the concept is extended to the free rotation problem with an equation significantly different than the classical Schrödinger equation. This new equation is inspired by the energy conservation method used in solving classical mechanics problems such as the pendulum problem. The picturized energy distribution functions and associated time evolution are described in movies for comparison between example classical wave functions and the energy density functions. The radial wavefunctions for the hydrogen atom and harmonic oscillator are derived. We can see that the new equation is much simpler than Schrödinger equation in obtaining consistent quantized rotational and vibrational energy levels. Thus, it has the potential to be widely used to free up computational pressure in modern quantum chemistry calculations.
Abstract In 1926, Erwin Schrödinger wrote a series of papers that invented wave mechanics and set the foundation for much of the single-particle quantum mechanics that we teach today. In his first paper, he solved the Schrödinger equation using the Laplace method, which is a technique that is quite powerful, but rarely taught. This is unfortunate, because it opens the door to examining quantum mechanics from a complex-analysis perspective. Gaining this experience with complex analysis is a useful notion to consider when teaching quantum mechanics, as these techniques can be widely used outside of quantum mechanics, unlike the standard Frobenius summation method, which is normally taught, but rarely used elsewhere. The Laplace method strategy is subtle and no one has carefully gone through the arguments that Schrödinger did in this first paper, instead it is often just stated that the solution was adopted from Schlesinger’s famous differential equation textbook. In this work, we show how the Laplace method can be used to solve for the quantum–mechanical energy eigenfunctions of the hydrogen atom, following Schrödinger’s original solution, with all the necessary details, and illustrate how it can be taught in advanced instruction; it does require familiarity with intermediate-level complex analysis, which we also briefly review.
Abstract In this paper I explain how I usually introduce the Schrödinger equation during the quantum mechanics course. My preferred method is the chronological one. Since the Schrödinger equation belongs to a special case of wave equations I start the course with introducing the wave equation. The Schrödinger equation is derived with the help of the two quantum concepts introduced by Max Planck, Einstein, and de Broglie, i.e. the energy of a photon E = ћ ω and the wavelength of the de Broglie wave λ = h / p . Finally, the difference between the classical wave equation and the quantum Schrödinger one is explained in order to help the students to grasp the meaning of quantum wavefunction Ψ ( r , t ) . A comparison of the present method to the approaches given by the authors of quantum mechanics textbooks as well as that of the original Nuffield A level is presented. It is found that the present approach is different from those given by these authors, except by Weinberg or Dicke and Wittke. However, the approach is in line with the original Nuffield A level one.