I am having trouble to proof that the product of two hermitian operators is hermitian iff they commute. Given the definition of hermitianity:
D is hermitian if it satisfy $$\int f^*(x)Dg(x)dx=\int g(x)D^*f^*(x)dx;$$
I am having trouble to proof that the product of two hermitian operators is hermitian iff they commute. Given the definition of hermitianity:
D is hermitian if it satisfy $$\int f^*(x)Dg(x)dx=\int g(x)D^*f^*(x)dx;$$
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