Learning Quantum Mechanics with Dirac: Understanding Ket Vectors

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Discussion Overview

The discussion revolves around understanding ket vectors in quantum mechanics, particularly in the context of learning from Dirac's "The Principles of Quantum Mechanics." Participants express uncertainty about the representation and implications of ket vector addition.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant questions what |C> represents in the equation |A> + |B> = |C>, expressing a lack of understanding of ket vectors.
  • Another participant suggests that if |A> and |B> denote possible states of a system, then |C> represents another possible state of that system.
  • Several participants express difficulty in learning from Dirac, recommending alternative texts such as Ballentine for a better foundational understanding.
  • One participant proposes a structured approach to learning, suggesting a sequence of texts to build up mathematical understanding before tackling Ballentine.

Areas of Agreement / Disagreement

Participants generally agree that Dirac's text is challenging and that alternative resources may be more accessible. However, there is no consensus on the specific representation of |C> in the context of ket vectors.

Contextual Notes

Some participants mention the need for familiarity with vector spaces to understand ket vectors, indicating a potential gap in foundational knowledge that may affect comprehension.

Who May Find This Useful

This discussion may be useful for individuals learning quantum mechanics, particularly those struggling with the mathematical aspects of ket vectors and seeking alternative learning resources.

Einstein's Cat
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I'm attempting to learn the mathematics of quantum mechanics using textbooks such as "The Principles of Quantum Mechanics" by Dirac. I'm uncertain however of how ket vectors work! Say |A> + |B> = |C>, then what does |C> please represent?
 
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Einstein's Cat said:
I'm attempting to learn the mathematics of quantum mechanics using textbooks such as "The Principles of Quantum Mechanics" by Dirac. I'm uncertain however of how ket vectors work! Say |A> + |B> = |C>, then what does |C> please represent?

If you are not familiar with the mathematical concept of a "vector space", you'll want to check that out.
 
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Einstein's Cat said:
I'm attempting to learn the mathematics of quantum mechanics using textbooks such as "The Principles of Quantum Mechanics" by Dirac.
Dirac is not easy to learn from. Try Ballentine.

I'm uncertain however of how ket vectors work! Say |A> + |B> = |C>, then what does |C> please represent?
If |A> and |B> denote possible states of a system, then the sum denotes another possible state of that system.
 
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strangerep said:
Dirac is not easy to learn from. Try Ballentine.

I totally concur.

I actually learned it from Dirac and Von Neumann. I wish I didn't. It would be much better to start with Ballentine then read those two seminal texts.

I get the feeling though your math may not be up to Ballentine. In that case I suggest you work your way up in the following order:
https://www.amazon.com/dp/0465062903/?tag=pfamazon01-20
https://www.amazon.com/dp/0071765638/?tag=pfamazon01-20
https://www.amazon.com/dp/146157675X/?tag=pfamazon01-20

Then you can tackle Ballentine.

It may seem like a lot of work but remember its not a race. Take your time and cement your understanding.

Thanks
Bill
 
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Thank you all very much for your help
 

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