How to Simplify Dirac Notation for Tensor Products?

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The discussion focuses on simplifying the expression <a|<b|a>|a> in the context of Dirac notation and tensor products. The user is trying to compute ψ*ψ, where ψ is defined as |a>|b>. There is a concern raised about the completeness and clarity of the notation used in the expression. The conversation emphasizes the importance of correctly representing tensor products in Dirac notation to avoid confusion. Clear notation is essential for accurate mathematical communication in quantum mechanics.
JordanGo
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How would you simplify this expression:

<a|<b|a>|a>

where ψ = |a>|b> and I'm finding ψ*ψ.
 
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Your notation is incomplete, thus misleading. Are you speaking of tensor products ?
 

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