Why classical physics work in quantum mechanics

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SUMMARY

This discussion centers on the differences between classical physics and quantum mechanics, specifically addressing why classical physics fails to accurately describe quantum-level particles. The research question posed is, "What is the difference between classical and quantum physics and why does classical physics not work on quantum level particles with respect to Schrödinger’s equation?" Key findings indicate that classical physics formulas yield incorrect total energy calculations for electrons, leading to issues such as atomic stability, discrete atomic spectra, and the photoelectric effect, which are effectively explained by Schrödinger’s equation.

PREREQUISITES
  • Understanding of Schrödinger’s equation in quantum mechanics
  • Familiarity with classical physics principles and formulas
  • Knowledge of atomic structure and stability
  • Basic concepts of discrete atomic spectra and the photoelectric effect
NEXT STEPS
  • Explore the implications of Schrödinger’s equation on atomic stability
  • Research the photoelectric effect and its significance in quantum mechanics
  • Investigate the concept of discrete atomic spectra and its relation to quantum theory
  • Examine the limitations of classical physics in explaining quantum phenomena
USEFUL FOR

Students writing extended essays in physics, educators teaching quantum mechanics, and researchers interested in the foundational differences between classical and quantum physics.

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
 
Physics news on Phys.org
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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