- #1
JK423
Gold Member
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- 7
I'm a graduate student of theoretical physics.
I'd like to specialize in the field of quantum information, quantum theory in general. For that reason, i`d really like to study the theory of Hillbert space, or/and operators, for example, in mathematical detail so that i'll be able to have a better understanding.
Why I'm saying this:
We, physicists, usually don't have a solid mathematical background. We use mathematics quite sloppy. One example is the misuse of operators in quantum mechanics ending in paradox situations, just because we don't know about the mathematical mistakes that we do without knowing. I want to fix that for myself.
So, i would really like you to suggest books on the theory of Hillbert space and operators. I'm not used to the mathematical language, so if i have to learn first some things on the mathematical language and logic then please suggest (very introductory) books on that as well.
Thanks a lot
John
I'd like to specialize in the field of quantum information, quantum theory in general. For that reason, i`d really like to study the theory of Hillbert space, or/and operators, for example, in mathematical detail so that i'll be able to have a better understanding.
Why I'm saying this:
We, physicists, usually don't have a solid mathematical background. We use mathematics quite sloppy. One example is the misuse of operators in quantum mechanics ending in paradox situations, just because we don't know about the mathematical mistakes that we do without knowing. I want to fix that for myself.
So, i would really like you to suggest books on the theory of Hillbert space and operators. I'm not used to the mathematical language, so if i have to learn first some things on the mathematical language and logic then please suggest (very introductory) books on that as well.
Thanks a lot
John