Minimum uncertainty wave packet in relativistic quantum mechanics

被引：3
|
作者：
Nogami, Y. [1 ]
Toyama, F. M. [2 ]
机构：
[1] McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada
[2] Kyoto Sangyo Univ, Dept Comp Sci, Kyoto 6038555, Japan
来源：
AMERICAN JOURNAL OF PHYSICS | 2010年 / 78卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Dirac equation; harmonic oscillators; physics education; relativistic quantum mechanics; Schrodinger equation; wave functions; FERMION NUMBER 1/2; DIRAC-EQUATION; SUPERSYMMETRY; OSCILLATOR; SOLITONS; STATE;
D O I：
10.1119/1.3238469
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
In nonrelativistic quantum mechanics in one dimension a wave packet can be constructed for which the minimum uncertainty relation for position and momentum, Delta x Delta p=h/2, holds exactly. The wave function of the wave packet is Gaussian and satisfies the Schroumldinger equation for a harmonic oscillator potential. We illustrate a similar situation in relativistic quantum mechanics for the one-dimensional Dirac equation.
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页码：176 / 180
页数：5
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