Hermitian Definition and 354 Threads

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  1. N

    Is Dirac Notation Appropriate for Proving Hermitian Conjugates of Operators?

    This didn't seem appropriate for College level so I thought I'd post it here. I'm struggling to find a way to prove that the product of two operators P and Q written PQ have the hermitian conjugate Q*P* where the star denotes hermitian conjugate. Really just can't get off the first line with...
  2. E

    Hermitian Operators and Imaginary Numbers

    So I understand what a hermitian operator is and how if A and B are hermitian operators, then the product of AB is not necessarily Hermitian since *Note here + is dagger (AB)+=B+A+=BA I also recognize that (AB-BA) is not Hermitian since (AB-BA)+=B+A+-A+B+ In addition, I know that...
  3. homology

    Hermitian Operators and Basis Independence: Exploring the Relationship

    Let's say you're wondering around P(oo) (which I'll use to represent the space of polymomials of any degree on the interval [-1,1]) and you decide to calculate the matrix X representing the position operator x. Let's say you do this in the basis: 1, t, t^2, ..., t^n,... you'll find that the...
  4. A

    Is the following operator hermitian? C|Phi> = |Phi>*

    -hey everyone, this one might be a little too math based for this forum, but I ran across it studying for one of my quantum exams and it seemed like an interesting problem. Haven't figured it out completely. We all know hermitian operators play a central role in quantum and so being able...
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