Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians

Details Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians

2000-05-15

arxiv.org/abs/quant-ph/0005051v1

Physics

Quantum Physics

LaTeX, 8 pages, no figures

Scientific paper

The quantum state of a particle can be completely specified by a position at one instant of time. This implies a lack of information, hence a symmetry, as to where the particle will move. We here study the consequences for free particles of spin 0 and spin 1/2. On a cubic spatial lattice a hopping equation is derived, and the continuum limit taken. Spin 0 leads to the Schroedinger equation, and spin 1/2 to the Weyl equation. Both Hamiltonians are hermitian automatically, if time-reversal symmetry is assumed. Hopping amplitudes with a "slight" inhomogeneity lead to the Weyl equation in a metric-affine space-time.

Affiliated with

Also associated with

No associations

Rating

Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians 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 Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-103474