Some system can be normalized, some can not

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In summary, the conversation discusses the concept of normalization in quantum mechanics and how it applies to different systems. The speaker mentions that while some systems can be normalized, others cannot due to certain factors, such as the particle not being bound. They also mention that these types of problems are often used for introductory purposes and may not necessarily need to be solved in real-world scenarios. Another speaker brings up the example of a plane wave incident on a potential step and suggests that using a wave packet instead of a plane wave may allow for normalization.
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Black Integra
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I'm new and have been studying QM myself for a while. I have a little question about normalization.
Some system can be normalized, some can not (such as potential step).
What does it mean? And how can we solve these problems?
 
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What it means depends on the system.

For instance you cannot normalize the wavefunction for a particle in free space because the particle is not bound.

We don't normally need to "solve" them because we normally have more information than that. Like our particle "in free space" is probably traveling from some interaction to another one ... so it is not actually "free". These puzzles are only used for beginning students to get you used to the math.
 
  • #3


Black Integra said:
I'm new and have been studying QM myself for a while. I have a little question about normalization.
Some system can be normalized, some can not (such as potential step).
What does it mean? And how can we solve these problems?
I'm very new to QM (taking my first introductory course) but do you mean the case of a plane wave incident on a potential step? If so, it might be because plane waves are an idealization and for a closer to reality model, we take a wavefunction Psi equal to a wave packet rather than a plane wave. I think in that case Psi can be normalized. I may have misunderstood your question though. Feel free to give more details.
 

FAQ: Some system can be normalized, some can not

What does it mean for a system to be normalized?

Normalization refers to the process of organizing data in a database in such a way that it reduces redundancy and dependency. This helps to improve data integrity and efficiency in data retrieval.

How do you determine if a system can be normalized?

A system can be normalized if it follows the rules of normalization, which include having a primary key, avoiding repeating groups of data, and ensuring that each attribute is dependent on the primary key.

What are the benefits of normalizing a system?

Normalizing a system can improve data consistency, reduce data duplication, and increase data integrity. It also helps to improve overall database performance and makes it easier to update and maintain the database.

Are there any situations where a system cannot be normalized?

Yes, there are some situations where a system cannot be fully normalized due to certain limitations or business requirements. However, it is generally recommended to normalize a system as much as possible to improve its overall efficiency and accuracy.

Can a system be partially normalized?

Yes, a system can be partially normalized if it meets some but not all of the rules of normalization. This can still help to improve data organization and efficiency, but it may not fully achieve the benefits of a fully normalized system.

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