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yzou_ua
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What is the Hermitian conjugate of a complex #, say, 5+6i??
statdad said:As far as I know the name Hermitian conjugate is alternate name for the conjugate transpose of a matrix with complex entries.
The Hermitian conjugate of 5-6i is 5+6i. It is the complex conjugate of a given complex number, where the imaginary part is multiplied by -1.
To find the Hermitian conjugate of a complex number, simply change the sign of the imaginary part. If the complex number is in the form a+bi, the Hermitian conjugate is a-bi. If it is in the form a-bi, the Hermitian conjugate is a+bi.
In quantum mechanics, Hermitian conjugates are used to calculate the expectation values of operators. They are also used to determine the probability amplitudes for physical observables.
No, the Hermitian conjugate of a real number is always itself. Since real numbers do not have an imaginary part, there is no need for a complex conjugate.
In mathematics, Hermitian conjugates can be thought of as the adjoint of a linear operator. The adjoint operator is the transpose of the operator's matrix representation, with the complex conjugates of the matrix elements. In quantum mechanics, the adjoint operator is used to find the Hermitian conjugate of a given operator.