How to Simplify Dirac Notation for Tensor Products?

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SUMMARY

The discussion focuses on simplifying the expression |a> in the context of Dirac notation and tensor products. The user clarifies that ψ = |a>|b> and seeks to compute ψ*ψ. The conversation highlights the importance of complete notation to avoid confusion, particularly when dealing with tensor products in quantum mechanics.

PREREQUISITES
  • Understanding of Dirac notation in quantum mechanics
  • Familiarity with tensor products and their application
  • Basic knowledge of quantum states and their representations
  • Experience with complex conjugates in quantum expressions
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  • Research the properties of tensor products in quantum mechanics
  • Learn about the implications of Dirac notation in quantum state calculations
  • Study the process of computing inner products in quantum mechanics
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Quantum physicists, students of quantum mechanics, and anyone interested in mastering Dirac notation and tensor products.

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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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