- #1
Lindsayyyy
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Hi everyone,
I'm new to quantum mechanics, so bear with me
I'm not sure if scaling is the right word here, but my problem is about the absolut value of a quantum mechanics state to be one. I have the state [tex] | \phi>[/tex] which is a linear combination of the states [tex] |+>[/tex] and [tex] |->[/tex]. The first task is about scaling my phi.
.
I know [tex] | \phi> = \lambda_1 |+> + \lambda_2 |->[/tex] whereas the lambdas are complex numbers.
Afterwards I used the definition of the scalar product to get the norm.
[tex] <\phi|\phi> = (\lambda_{1}' <+| + \lambda_{2}'<-|)(\lambda_1 |+> + \lambda_2 |->) [/tex]
lambda' is the complex conjugated
If I solve this I get an expression like : sqrt(a+b) wheres my a equals the realpart of my lambdas1 and b equals the real part of my lambdas2
Is that solution right or totally wrong?
Thanks for your help
I'm new to quantum mechanics, so bear with me
Homework Statement
I'm not sure if scaling is the right word here, but my problem is about the absolut value of a quantum mechanics state to be one. I have the state [tex] | \phi>[/tex] which is a linear combination of the states [tex] |+>[/tex] and [tex] |->[/tex]. The first task is about scaling my phi.
Homework Equations
.
The Attempt at a Solution
I know [tex] | \phi> = \lambda_1 |+> + \lambda_2 |->[/tex] whereas the lambdas are complex numbers.
Afterwards I used the definition of the scalar product to get the norm.
[tex] <\phi|\phi> = (\lambda_{1}' <+| + \lambda_{2}'<-|)(\lambda_1 |+> + \lambda_2 |->) [/tex]
lambda' is the complex conjugated
If I solve this I get an expression like : sqrt(a+b) wheres my a equals the realpart of my lambdas1 and b equals the real part of my lambdas2
Is that solution right or totally wrong?
Thanks for your help