Understanding Lowering Operator A and Hermitianity

[ronaldoshaky]

Hello, I am trying to understand some principles in my book.

Is the lowering operator $$A$$, the conjugate of the raising operator $$A^{+}$$?

Also I was reading that the lowering operator $$A$$ is not Hermitian since it and its adjoint $$A^{+}$$ are not equal? Does that imply that $$A^{+}$$ is not Hermitian.

Thank you.

 

[DrFaustus]

TThe answer to every question you ask is yes. I assume the book you have will have an explicit expression for the raising and lowering operators, and you can compute the answers yourself.