Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians
| dc.creator | Polley, L. | |
| dc.date | 2000-05-15 | |
| dc.date.accessioned | 2026-07-07T05:59:58Z | |
| dc.date.available | 2026-07-07T05:59:58Z | |
| dc.description | 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. | |
| dc.description | LaTeX, 8 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0005051 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0005051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88880 | |
| dc.subject | Quantum Physics | |
| dc.title | Position eigenstates, symmetries, and the redundant hermiticity of free-particle Hamiltonians | |
| dc.type | text |