The Schrödinger Equation Compatible with Classical Mechanics

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.

Authors

Publication Details

Journal
Applied sciences research periodicals.
Published
2025-02-03
DOI
https://doi.org/10.63002/asrp.301.817
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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The Schrödinger Equation Compatible with Classical Mechanics

Runsheng Tu
Applied sciences research periodicals.
Quantum Mechanics and Applications
article

The Schrödinger Equation Compatible with Classical Mechanics

Runsheng Tu
article en

Abstract

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.

Applied sciences research periodicals.Vol. 3(01)
Openalex Percentile: Top 98%
Quantum Mechanics and Applications
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