# Ket Vectors

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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Nugatory
Mentor
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.

vanhees71 and bhobba
strangerep
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.

vanhees71, DrClaude and bhobba
bhobba
Mentor
Dirac is not easy to learn from. Try Ballentine.
I totally concur.

I actually learnt 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&tag=pfamazon01-20
https://www.amazon.com/dp/0071765638/?tag=pfamazon01-20&tag=pfamazon01-20
https://www.amazon.com/dp/146157675X/?tag=pfamazon01-20&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

Tolklein, vanhees71 and DrClaude
Thank you all very much for your help