Coherent-Squeezed State Representation of Travelling General Gaussian Wave Packets

Simple item page
dc.creatorKim, Sang Pyo
dc.date2005-11-08
dc.date2005-11-09
dc.date.accessioned2026-07-07T06:52:41Z
dc.date.available2026-07-07T06:52:41Z
dc.descriptionUsing the time-dependent annihilation and creation operators, the invariant operators, for a free mass and an oscillator, we find the coherent-squeezed state representation of a travelling general Gaussian wave packet with initial expectation values, $x_0$ and $p_0$, of the position and momentum and variances, $Δx_0$ and $Δp_0$. The initial general Gaussian wave packet takes, up to a normalization factor, the form $e^{i p_0 x/\hbar} e^{- (1 \mp i δ) (x - x_0)^2 / 4 (Δx_0)^2}$, where $δ= \sqrt{(2Δx_0 Δp_0/\hbar)^2 -1}$ denotes a measure of deviation from the minimum uncertainty or the initial position-momentum correlation $δ= 2Δ(xp)_0 / \hbar$. The travelling Gaussian wave packet takes, up to a time-dependent phase and normalization factor, the form $e^{i p_c x/\hbar} e^{- (1 - 2 i Δ(xp)_t/\hbar) (x - x_c)^2 / 4 (Δx_t)^2}$ and the centroid follows the the classical trajectory with $x_c(t)$ and $p_c(t)$. The position variance is found to have additionally a linearly time-dependent term proportional to $δ$ with both positive and negative signs.
dc.descriptionRevTex 14 pages, no figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0511073
dc.identifierhttp://arxiv.org/abs/quant-ph/0511073
dc.identifierJ. Korean Phys. Soc. 49 (2006) 464-471
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105381
dc.subjectQuantum Physics
dc.titleCoherent-Squeezed State Representation of Travelling General Gaussian Wave Packets
dc.typetext

Files

Collections

arXiv