Phase of the quantum oscillator
| dc.creator | Sharatchandra, H. S. | |
| dc.date | 1997-10-06 | |
| dc.date.accessioned | 2026-07-07T06:14:27Z | |
| dc.date.available | 2026-07-07T06:14:27Z | |
| dc.description | Requirements of a conjugate operator are emphasized, especially in its role in uncertainty relations.It is argued that in many contexts it is necessary to extend the Hilbert space in order to define a conjugate operator as in gauge theories. Example of a particle in a box is analysed. This is closely related to the quantum oscillator through cosine states of Susskind and Glogower.It is used to justify London's phase wave functions albeit as part of a larger Hilbert space. A new definition phase uncertainty neccessiated by periodicity is proposed.It is close to the usual r.m.s. definition.Corresponding number- phase uncertainty relation is obtained and its implications are discussed. Hilbert space of an oscillator is identified with the Hilbert space of a planar rotor with a $Z_2$ gauge invariance.This is used to construct states analogous to the cosine and sine states and to illustrate unitary equivalence of Hilbert spaces. | |
| dc.description | 10 pages. Revtex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9710020 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9710020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93465 | |
| dc.subject | Quantum Physics | |
| dc.title | Phase of the quantum oscillator | |
| dc.type | text |