Wigner-Weyl′s transform and its contraction

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/74251

Title:	Wigner-Weyl′s transform and its contraction
Authors:	周川昇;CHEW, CHUAN-SHENG
Contributors:	物理學系
Keywords:	周川昇
Date:	2017-05-16
Issue Date:	2017-10-27 13:39:35 (UTC+8)
Publisher:	國立中央大學
Abstract:	倘若我們選取相干態(coherent state)為量子力學希爾博特(Hilbert space) 向量空間的基地, 則我們發現其對應波函數(wave function)有與韋恩-威爾變換(WignerWeyl’s transform) 相似的結構. 我們可以將量力可量測(Obserable)在波函數的表示(representation)與韋恩-威爾上的表示視為僅為參數差1/2.另外,不論是量力的波函數表示,還是韋恩-威爾變換都有共容的古典極限.;We started with hbar = 1 in each different representation space said matrix representation on Hilbert space, realization as square integrable function and Wigner distribution. We introduced contraction parameter hbar by rescaled generator Q hat and P hat and consider their limitation i.e. hbar → 0 and showed comparable classical limit for each representation. If coherent state has been chosen as base for our quantum Hilbert space, we found that correspond wave function (realization) have some star structure similar to Wigner-Weyl’s method and identify quantum observable algebra on both representation are equivalent up to a 1/2 factor.
Appears in Collections:	[Graduate Institute of Physics] Electronic Thesis & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	238	View/Open

社群 sharing