- #1

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If C is an operator such that C|1> = |1> and C|2>=|2>, then C^3 |1>= |1>|1>|1> =|1> ^ 3 ? If yes, then what does this C^3 represent?

- Thread starter rsaad
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- #1

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If C is an operator such that C|1> = |1> and C|2>=|2>, then C^3 |1>= |1>|1>|1> =|1> ^ 3 ? If yes, then what does this C^3 represent?

- #2

I like Serena

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Welcome to PF, rsaad!

If C is an operator such that C|1> = |1> and C|2>=|2>, then C^3 |1>= |1>|1>|1> =|1> ^ 3 ? If yes, then what does this C^3 represent?

If f is a function such that f(x)=x.

And f

What is f

- #3

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OMG! That makes sense! Thank you soooo much!!!!

- #4

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f^3 x is a function again =)

- #5

I like Serena

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You're welcome.

And is C^3 |1> = |1>|1>|1>?

Yeah... which function?f^3 x is a function again =)

And is C^3 |1> = |1>|1>|1>?

- #6

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No. it is just |1>

- #7

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So that's an identity function

- #8

I like Serena

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Right!

- #9

mfb

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Your C is **not** the identity function!

Try to calculate C^3 |2> to see the difference.

Edit: Ignore that post, see below.

Try to calculate C^3 |2> to see the difference.

Edit: Ignore that post, see below.

Last edited:

- #10

I like Serena

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C^3 |2> = C C C |2> = C C |2> = C |2> = |2>Your C isnotthe identify function!

Try to calculate C^3 |2> to see the difference.

Where is the difference?

- #11

mfb

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Ok, it might be the identity function (but we cannot be sure based on 2 examples only).

- #12

Fredrik

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The notation |1>|1>|1> doesn't make sense here.

- #13

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There's no such thing as the 3rd or any power of a vector.

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