- #1

Hazzattack

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Hi guys, I'm currently writing a document about decoherence and I'm trying to make a point about phase factors and how they are altered by an interaction with a surrounding environment. However, i don't want to only state this, i want to show it through basic QM. Is it possible to say the following;

If we represent a superposition state the following way;

[itex]\varphi_{s}[/itex] = [itex]\Sigma_{n}[/itex][itex]\alpha_{n}^{*}\varphi_{n}[/itex]

and since each component basis eigenstate has an associated complex coefficient, this can be written;

[itex]\alpha^{*}[/itex] = x+ iy = re^iphi

I'm basically trying to show how each component eigenstate (that makes up the superposition state) have a relative phase and when this is coherent we observe interference patterns etc.

If anyone could help with any pointers to make this more clear it would be very much appreciated.

Thanks

If we represent a superposition state the following way;

[itex]\varphi_{s}[/itex] = [itex]\Sigma_{n}[/itex][itex]\alpha_{n}^{*}\varphi_{n}[/itex]

and since each component basis eigenstate has an associated complex coefficient, this can be written;

[itex]\alpha^{*}[/itex] = x+ iy = re^iphi

I'm basically trying to show how each component eigenstate (that makes up the superposition state) have a relative phase and when this is coherent we observe interference patterns etc.

If anyone could help with any pointers to make this more clear it would be very much appreciated.

Thanks

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