Hermitian Operators

4. Hermitian Operators
A physical variable must have real expectation
values (and eigenvalues).This implies that the
operators representing physical variables have some
special properties.
By computing the complex conjugate of the
expectation value of a physical variable, we can easily
show that physical operators are their own
Hermitian conjugate.

6. Operators that are their own
Hermitian Conjugate are called
Hermitian Operators.

7. Hermitian Operators

13. Properties of Hermitian Operators
Definitions

14. Proof that eigenvalues are real

16. Proof that eigenfunctions are orthonormal

18. Thank
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