Recent content by MelvinSmith

  1. M

    Is an imaginary electromagnetic gauge field something physical?

    Hi, my question is, if there is an interpretation for electromagnetic gauge fields, whose components are imaginary. This would lead to an imaginary magnetic field... Does anything like this exist? Or is it forbidden ny some first principal arguments? Thank you in advance for every input! Melvin
  2. M

    Wick's theorem for other statistics

    Hi all! I've got a question concerning Wick's theorem. I followed the proof in the book by Fetter and Walecka and it works well for particles with "normal" statistic, that means for bosons and fermons (commuting or anticommuting). But what about anyons, particles which don't commute just with a...
  3. M

    What is the interpretation of the Dirac equation and its current operator?

    Thank you for your new answer. I'm studying this from the perspective of relativistic quantum mechanics. I'm reading a German book from Wachter called "Relativistische Quantenmechanik" and there isn't given an operator neither for current density nor for total current (that there is none for...
  4. M

    What is the interpretation of the Dirac equation and its current operator?

    @muppet: You are right with the missing \gamma^{0}. So the probability current density is \textbf{j}^{i} = \psi^{\dagger}(\textbf{r})\gamma^{0}\gamma^{i}\psi(\textbf{r}). The operator for the probability current density (or one component) should be something with Delta distributions in my...
  5. M

    What is the interpretation of the Dirac equation and its current operator?

    Hello, I have a question concerning the current in the Dirac equation and its corresponding operator. One can construct a current density that is \textbf{j}^{i} = \psi^{\dagger}\gamma^{i}\psi If I want to have the current, I will have to integrate: I = \oint \textbf{j} \cdot \textbf{n} \, dA...
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