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robertjford80
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Homework Statement
The Attempt at a Solution
do you see where it sees sqrt((1-i)(1+i)+9)?
It should be (1+i)(1+i)
Why isn't it?
Understanding Complex Numbers in Dot Product Calculations
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The discussion focuses on the calculation of the dot product involving complex numbers, specifically addressing the expression sqrt((1-i)(1+i)+9). Participants clarify that the correct form should be (1+i)(1+i) instead. The definition of the complex inner product is highlighted, noting that it includes a conjugate on one side, represented as <a|b> = a*.b. This distinction is emphasized as being crucial for understanding the differences in calculations compared to real vectors. The conversation concludes with an acknowledgment of this definition's relevance.
do you see where it sees sqrt((1-i)(1+i)+9)?
It should be (1+i)(1+i)
Why isn't it?
- #2
tiny-tim
Science Advisor
Homework Helper
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hi robertjford80! 
the complex inner product is defined with a conjugate on one side …
<a|b> = a*.b
(for real vectors, it makes no difference, so this isn't a different definition, it's the same as for real vectors
)
robertjford80 said:
the complex inner product is defined with a conjugate on one side …
<a|b> = a*.b
(for real vectors, it makes no difference, so this isn't a different definition, it's the same as for real vectors
)- #3
robertjford80
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ok thanks.