Usually, QFT is used in operator representation, that is one can write e.g. $-i\partial_{t}\psi=H\psi$ with H being an operator. And one can ask if H is self-adjoint etc. However, there's also the possibility of the functional representation where H would be a functional. What would be the analog of self-adjointness for functonals?


  • $\begingroup$ Comment to question (v1): The word functional means different things in different branches of mathematical physics. You might receive better and more focused answers by providing some context (e.g., references, examples, etc.) for your question. $\endgroup$
    – Qmechanic
    Mar 1 '14 at 16:03

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