Recent content by Quantum child

  1. Quantum child

    Graduate Commuting Hamiltonian with the projection of position

    You can find the paper at "arXiv:1002.0066 [quant-ph]" (subsection 3.1) Thank you Avodyne but that exactly is my query, the result that is appearing in the paper is the inverse of this.
  2. Quantum child

    Graduate Commuting Hamiltonian with the projection of position

    First I want to thank you all for devoting some time to answer me. I had to be more comprehensive, so let me provide some more details. We take the Dirac Hamiltonian H=aP+mb in the non-manifestly-covariant formulation. According to this Hamiltonian the velocity of a free Dirac particle is...
  3. Quantum child

    Graduate Commuting Hamiltonian with the projection of position

    Hi all, This is the problem I want to share with you. We have the hamiltonian H=aP+bm, which we are commuting with the position x and take: [x,H]=ia, (ħ=1) Ok. Now if we take, instead of x, the operator X=Π+ x Π+ +Π-xΠ- where Π± projects on states of positive or negative energy the...