Square integrable function
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So Ive got a module on quantum mechanics but theres something I dont quite get. Ive put an arrow next to it. What is it saying in simple terms haha?
Any explanation is appreciated.
Any explanation is appreciated.
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#2
(Original post by Super199)
So Ive got a module on quantum mechanics but theres something I dont quite get. Ive put an arrow next to it. What is it saying in simple terms haha?
Any explanation is appreciated.
So Ive got a module on quantum mechanics but theres something I dont quite get. Ive put an arrow next to it. What is it saying in simple terms haha?
Any explanation is appreciated.
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(Original post by RDKGames)
It just means that integral is finite, over whatever region you are integrating over.
It just means that integral is finite, over whatever region you are integrating over.
Whats the issue if my integral is infinite?
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#4
(Original post by Super199)
So its saying if I had limits that when i integrated it you would be able to get an exact value out?
Whats the issue if my integral is infinite?
So its saying if I had limits that when i integrated it you would be able to get an exact value out?
Whats the issue if my integral is infinite?
Dunno what the issue is when it's infinite, I haven't covered this theory. But it seems to me that this statement is just an agreement, i.e. an axiom of sorts, so you just have to take it at face value and deduce your theory based on this fact. Maybe later on you will find out the necessity for it being finite.
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(Original post by RDKGames)
Yep, you get some finite value.
Dunno what the issue is when it's infinite, I haven't covered this theory. But it seems to me that this statement is just an agreement, i.e. an axiom of sorts, so you just have to take it at face value and deduce your theory based on this fact. Maybe later on you will find out the necessity for it being finite.
Yep, you get some finite value.
Dunno what the issue is when it's infinite, I haven't covered this theory. But it seems to me that this statement is just an agreement, i.e. an axiom of sorts, so you just have to take it at face value and deduce your theory based on this fact. Maybe later on you will find out the necessity for it being finite.

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