Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

Details Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

2002-05-13

arxiv.org/abs/math-ph/0205018v1

Physics

Mathematical Physics

Scientific paper

We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian $H$. There is no external potential and $H$ fibers according to the total momentum $p$. We prove that the ground state subspace of $H$ with a total momentum $p$ is two-fold degenerate provided the charge $e$ and the total momentum $p$ are sufficiently small. We also establish that the total angular momentum of the ground state subspace is $\pm1/2$ and study the case of a confining external potential.

Affiliated with

Also associated with

No associations

Rating

Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423018