Recent content by FreeBiscuits

  1. FreeBiscuits

    Graduate Why is the creation operator not densely defined?

    I thank all of you. The attached notes are a great help. I really appreciate it.
  2. FreeBiscuits

    Graduate Why is the creation operator not densely defined?

    The book of Simon and Reed. (Fourier Analysis chapter X.7) "The adjoint of the operator a(p) is not a densely defined operator since it is given formally by" the expression I posted before. There is no more explanation given. They merely mention that it is possible to define $$a^\dagger$$ as...
  3. FreeBiscuits

    Graduate Why is the creation operator not densely defined?

    Hi everyone, I am currently preparing myself for my Bachelor thesis in local quantum field theory. I was encouraged by my advisor to read the books of M. Reed and Simon because of my lag of functional analysis experience but I have quite often problems understand the “obvious” conclusions. For...