Does the Quantum Model Quantize Everything?

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SUMMARY

The Quantum Model does not quantize everything, as evidenced by the continuous nature of the conduction band in conductors, which is derived from quantum theory. Additionally, the energy and momentum of a free particle, when analyzed through the Schrödinger equation, can take on any value, indicating a lack of quantization in this context. This discussion clarifies the limitations of quantization within quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Schrödinger equation
  • Knowledge of conduction bands in solid-state physics
  • Basic concepts of energy and momentum in physics
NEXT STEPS
  • Explore the implications of the Schrödinger equation on particle behavior
  • Research the properties of conduction bands in various materials
  • Investigate the differences between quantized and continuous systems in quantum mechanics
  • Study advanced quantum mechanics topics, such as wave-particle duality
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Physicists, students of quantum mechanics, and anyone interested in the foundational principles of quantum theory and its applications in solid-state physics.

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Does the model basically quantisize everything?
 
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chound said:
Does the model basically quantisize everything?

No it doesn't. The conduction band of a conductor is derived using quantum theory, and that's continuous. The energy and momentum of a free particle can be anything when you solve the Schrödinger equation. There's no "quantization" there.

Zz.
 

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