On the geometric potential derived from Hermitian momenta on a curved surface
| dc.creator | Encinosa, M. | |
| dc.date | 2005-08-14 | |
| dc.date.accessioned | 2026-07-07T06:13:22Z | |
| dc.date.available | 2026-07-07T06:13:22Z | |
| dc.description | A geometric potential $V_C$ depending on the mean and Gaussian curvatures of a surface $Σ$ arises when confining a particle initially in a three-dimensional space $Ω$ onto $Σ$ when the particle Hamiltonian $H_Ω$ is taken proportional to the Laplacian $L$ on $Ω$. In this work rather than assume $H_Ω\propto L$, momenta $P_η$ Hermitian over $Ω$ are constructed and used to derive an alternate Hamiltonian $H_η$. The procedure leading to $V_C$, when performed with $H_η$, is shown to yield $V_C = 0$. To obtain a measure of the difference between the two approaches, numerical results are presented for a toroidal model. | |
| dc.description | 6 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0508104 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0508104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93078 | |
| dc.subject | Quantum Physics | |
| dc.title | On the geometric potential derived from Hermitian momenta on a curved surface | |
| dc.type | text |