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Advances in Theoretical & Computational Physics

Establishing the Schrödinger Equation for Macroscopic Objects and Changing Human Scientific Concepts

Runsheng Tu

Published Dec 31, 2024• 1 citation
Publisher

Abstract

We should try to establish the Schr ö dinger equation for gravitational potential energy and use it to describe macroscopic objects. Replacing the electromagnetic potential energy in the Hamiltonian operator with gravitational potential energy can achieve the goal. The successful application of the Schr ö dinger equation for gravitational potential energy can change many existing concepts in quantum mechanics and shake the conceptual system of quantum mechanics. This can promote the development of quantum mechanics and other fields of physics.

DOI
10.33140/atcp.07.04.18

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We should try to establish the Schr ö dinger equation for gravitational potential energy and use it to describe macroscopic objects. Replacing the electromagnetic potential energy in the Hamiltonian operator with gravitational potential energy can achieve the goal. The successful application of the Schr ö dinger equation for gravitational potential energy can change many existing concepts in quantum mechanics and shake the conceptual system of quantum mechanics. This can promote the development of quantum mechanics and other fields of physics.
People believe that the Schrödinger equation cannot be used to describe macroscopic objects like the Earth, and Newtonian mechanics cannot be used to describe microscopic systems. The old concept of the relationship between the existing laws of quantum mechanics and classical mechanics undoubtedly has a serious impact on people's understanding of the natural world, the development of physics theories, and the application of existing physics theories. The continuous development of physics theory requires constant changes to some incorrect old concepts. The Schrödinger equation that can describe planetary motion was successfully obtained by replacing the potential energy in the Hamiltonian operator from electromagnetic interaction potential energy to gravitational interaction potential energy. If the distance between the sun and the earth is approximated as a constant, the energy eigenvalues obtained by solving the Schrödinger equation for the Earth's revolution are completely consistent with the results obtained directly using classical mechanics. The direct significance of establishing and applying such equations is that they can simultaneously use classical mechanics and wave dynamics to describe all objects (no longer limited by the mass of the objects), simplifying the calculation process of quantum mechanics. It has been proven that classical mechanics and wave dynamics are compatible, and there is no insurmountable gap between them. This result has a huge positive impact on the theoretical updates and applications of quantum mechanics.
People believe that the Schrödinger equation cannot be used to describe macroscopic objects like the Earth, and Newtonian mechanics cannot be used to describe microscopic systems. The old concept of the relationship between the existing laws of quantum mechanics and classical mechanics undoubtedly has a serious impact on people’s understanding of the natural world, the development of physics theories, and the application of existing physics theories. The continuous development of physics theory requires constant changes to some incorrect old concepts. The Schrödinger equation that can describe planetary motion was successfully obtained by replacing the potential energy in the Hamiltonian operator from electromagnetic interaction potential energy to gravitational interaction potential energy. If the distance between the sun and the earth is approximated as a constant, the energy eigenvalues obtained by solving the Schrödinger equation for the Earth’s revolution are completely consistent with the results obtained directly using classical mechanics. The direct significance of establishing and applying such equations is that they can simultaneously use classical mechanics and wave dynamics to describe all objects (no longer limited by the mass of the objects), simplifying the calculation process of quantum mechanics. It has been proven that classical mechanics and wave dynamics are compatible. It has been proven that classical mechanics and wave dynamics are compatible, and there is no insurmountable gap between them. This result has a huge positive impact on the theoretical updates and applications of quantum mechanics.
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Replace the potential energy in the Hamiltonian operator from electromagnetic interaction potential energy to gravitational interaction potential energy. Define that the kinetic energy of a moving object is equal to its de Broglie wave's hν. Successfully obtained the Schrödinger equation describing planetary motion. The Schrödinger equation itself is a combination of classical mechanics and quantum mechanics. Quantum mechanics based on it cannot completely exclude classical mechanics. Many examples have been introduced where classical mechanics and quantum theory can be combined to describe the same object (whether it is macroscopic or microscopic). Local realism and determinism still have a market in modern physics. Quantum mechanics and classical mechanics have a compatible and complementary relationship.
Replace the potential energy in the Hamiltonian operator from electromagnetic interaction potential energy to gravitational interaction potential energy. Define that the kinetic energy of a moving object is equal to its de Broglie wave’s hν. Successfully obtained the Schrödinger equation describing planetary motion. The Schrödinger equation itself is a combination of classical mechanics and quantum mechanics. Quantum mechanics based on it cannot completely exclude classical mechanics. Many examples have been introduced where classical mechanics and quantum theory can be combined to describe the same object (whether it is macroscopic or microscopic). Local realism and determinism still have a market in modern physics. Quantum mechanics and classical mechanics have a compatible and complementary relationship.
From the fact that many people are dedicated to the quantization of gravity, it can be seen that people crave the integration of quantum theory and macroscopic theory. Let's first combine quantum mechanics with classical mechanics to gain insightful experiences. The citation introduces the Schrödinger-Tu equation, which has gravitational potential energy and can describe macroscopic objects. Several successful computational examples related to atoms and molecules using the combination of quantum and classical methods for use were listed. The wave mechanics representation method of classical mechanics laws has been derived. This indicates that quantum mechanics and classical mechanics can be compatible and coexist. There is still much evidence to suggest that the Schrödinger equation (SE) cannot exclude classical mechanical laws: The mass m in the SE can be large enough to bring the described object into the macroscopic range; Steady state SE is the Tψ+Vψ=Eψ, a combination of the wave function ψ and the expression T+V=E in classical mechanics; The potential energy function in the SE can originate from macroscopic force fields; F=ma and the SE can be converted to each other; Completed electron diffraction experiments that exhibit both wave and particle characteristics simultaneously. Important conceptual changes can drive the renewal of physics. The shift from quantum and classical incompatibility to compatibility is an important conceptual change that can lead to the birth of general wave mechanics.