Yes, the two expressions are equivalent.

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SUMMARY

The expressions P_x = c_+^* c_- + c_-^* c_+ and 2Re(c_+^* c_-) are equivalent under the condition that c_-·c_+ equals (c_+^*·c_-)*. This equivalence relies on the property of complex conjugates, specifically that c + c^* = 2Re(c). Understanding this relationship is crucial for simplifying expressions in complex analysis.

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Homework Statement



I'm part way through a problem and got the answer [tex]P_x=c_+^* c_-+c_-^*c_+[/tex].
But the answer should be [tex]2Re(c+^*c_-)[/tex].

Are the two equivalent?

Homework Equations



[tex]c+c^*=2Re(c)[/tex]
 
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v_pino said:
Are the two equivalent?
That depends. Is c-*·c+ equal to (c+*·c-)* ? If so, then you can apply:

Homework Equations


[tex]c+c^*=2Re(c)[/tex]
 
Just complex conjugate on of the both terms
 

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