Analysis of 1 and 2 Particle Quantum Systems using Geometric Algebra
| dc.creator | Parker, Rachel | |
| dc.creator | Doran, Chris | |
| dc.date | 2001-06-11 | |
| dc.date.accessioned | 2026-07-07T06:02:14Z | |
| dc.date.available | 2026-07-07T06:02:14Z | |
| dc.description | When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this entanglement can be described using the Schmidt decomposition. This selects a preferred orthonormal basis for expressing the wavefunction and gives a measure of the degree of entanglement present in the system. The extension of this to the more general case of n subsystems is not yet known. We present a review of this process using the standard representation and apply this method to the geometric algebra representation. This latter form has the advantage of suggesting a generalisation to n subsystems. | |
| dc.description | 13 latex pages, no figures, to appear in proceedings AGACSE 2001 (Birkhauser, 2001) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0106055 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0106055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89533 | |
| dc.subject | Quantum Physics | |
| dc.title | Analysis of 1 and 2 Particle Quantum Systems using Geometric Algebra | |
| dc.type | text |