Schrodinger Quantization VS Bohr Quantization

In summary, the quantization of angular momentum in the Schrodinger theory and in the Bohr model have some similarities, such as the use of the principal quantum number to determine energy levels and the identical energy levels for Hydrogen. However, there are also differences, such as the Bohr model being limited to one dimension while Schrodinger's theory accounts for all three dimensions. The Bohr model also has a quantization rule for angular momentum, but it is limited to circular motion due to conservation of angular momentum, while the wave mechanics of Schrödinger allow for more complex motion.
  • #1
awat
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Homework Statement



What are the similarities and differences between the quantization of angular momentum in the Schrodinger theory and in the Bohr model?


Homework Equations



?

The Attempt at a Solution



Similarities:
-In both theories, the principal quantum #, n, determines the energy levels.
-Identical energy levels are determined for Hydrogen.

Differences:
-While the Bohr model was limited to one dimension, Schrodinger's thory accounts for all 3


I feel that these answers are very obvious and that I am missing the more fundamental points of angular momentum. Any insight?
 
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  • #2
Actually the Bohr model is also 3D. it turns out that the motion of the electron is circular (one parameter = 1DOF), due to angular momentum conservation, because of the central potential.

What's the quantization rule for angular momentum in the Bohr model ? What about wave mechanics of Schrödinger ?
 

FAQ: Schrodinger Quantization VS Bohr Quantization

What is Schrodinger Quantization?

Schrodinger quantization is a mathematical approach to understanding the behavior of particles in quantum mechanics. It involves treating particles as waves and using the Schrodinger equation to calculate the probability of their location and momentum.

What is Bohr Quantization?

Bohr quantization is a model used to describe the behavior of electrons in an atom. It states that electrons can only exist in certain energy levels or orbits around the nucleus, and that they can only transition between these levels by absorbing or emitting specific amounts of energy.

What is the main difference between Schrodinger and Bohr quantization?

The main difference between Schrodinger and Bohr quantization is that Schrodinger's approach treats particles as waves, while Bohr's model is based on the idea of discrete energy levels. Another difference is that Schrodinger's equation can be applied to any system, while Bohr's model is specific to atoms.

Which quantization method is more accurate?

Neither Schrodinger nor Bohr quantization can be considered more accurate than the other. Both have been successful in predicting and explaining certain phenomena in quantum mechanics. However, Schrodinger's approach is more general and can be applied to a wider range of systems, while Bohr's model is limited to atoms.

Can Schrodinger and Bohr quantization be used together?

Yes, Schrodinger and Bohr quantization can be used together to provide a more complete understanding of quantum phenomena. Schrodinger's approach can be used to calculate the probability of an electron's location, while Bohr's model can be used to determine the energy levels of the atom and the transitions between them.

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