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Antilinear

An antilinear operator A^~ satisfies the following two properties:

A^~[f_1(x)+f_2(x)]=A^~f_1(x)+A^~f_2(x)
(1)
A^~cf(x)=c^_A^~f(x),
(2)

where c^_ is the complex conjugate of c.

See also

Antiunitary, Linear Operator

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References

Sakurai, J. J. Modern Quantum Mechanics. Menlo Park, CA: Benjamin/Cummings, 1985.

Referenced on Wolfram|Alpha

Antilinear

Cite this as:

Weisstein, Eric W. "Antilinear." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Antilinear.html

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