Functional analysis, and Quantum Mechanics

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Taking an introductory course in Functional Analysis can provide valuable insights for understanding theoretical quantum physics, although the direct connection may not be immediately apparent. Many students find that physics courses often teach the necessary mathematics in a less rigorous manner, leading to a gap in understanding. Functional Analysis is mathematically rigorous and may not directly relate to quantum mechanics, as it covers different concepts. Students typically learn the required mathematics through physics courses first and then encounter these topics in a more formal context later. The distinction between mathematics and physics is significant, with each discipline having its own methodologies and perspectives.
malawi_glenn
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Hi!

I was thinking about taking an introductory course in Functional analysis the commming spring, and was wondering if you more experienced guys can tell me if this is a good complement to understand theoretical quantum physics better?

Cheers
 
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I think so, but I'm going off reading QED plus a very brief introduction to calculus of variations.
 
They are not offering Calculus of variations anymore at my University =(
 
what math courses have you taken already?
 
is this course mathematically rigorous?
i.e given by mathematicians for mathmematicians (and those who inclined to rigorous maths).
cause as i know it in QM courses and physics in general you already given the maths needed (with shaken mathematical foundations), because i myself as a maths/physics student as any maths/physics student knows we first learn the maths in the physics courses which are needed and after some semesters or a few weeks we learn it in the specific maths course.
so i guess i myself first will learn QM and the maths used there in a physics course and afterwards i will learn the maths needed rigorously.
if you are a maths/physics major you'll know what I am talking about.
 
I took a course on functional analysis last spring, and it nearly didn't have anything to do with the QM. It dealt with completely different kind of things, or at least I cannot see the connection yet.
 
Maths and physics are like different cultures. Stick to the boundary of the two and the connections will be more apparent unlike you are a genuis.
 
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