Why classical physics work in quantum mechanics

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The discussion focuses on the differences between classical and quantum physics, particularly in relation to Schrödinger’s equation. The research question explores why classical physics fails to accurately describe quantum-level particles. Key issues include the stability of atoms and phenomena such as discrete atomic spectra and the photoelectric effect, which classical physics cannot adequately explain. The author has calculated the total energy of an electron using both classical formulas and Schrödinger’s equation but is seeking clarity on the implications of these differences. Understanding these concepts is crucial for completing the Extended Essay on this topic.
Dammes
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im finally writing my conclusion for my Extended Essay.

The extended essay (EE) is a mandatory core component of the IB Diploma Programme. It is a research paper of up to 4,000 words giving students an opportunity to conduct independent research or investigation on a topic that interests them.

but i am a it stuck.
my research question is "What is the difference between classical and quantum physics and why does classical physics not work on quantum level particles respect to Schrödinger’s equation?”

i have shown what values we get if we calculate the total energy of an electron using classical physics formulas and the total energy of an electron using Schrödinger’s equation.

but why doesn't it work.
what are the consequences of using classical physics on quantum level particles
 
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A classical trouble with classical physics is the stability of atoms. Related problematic phenomena are discrete atomic spectra and the photoelectric effect.
 
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