On the unitary operator for mutual transformation between coordinate and momentum representations

ZHAN De-hui1; LU Dao-ming1; FAN Hong-yi2

doi:10.16854 /j.cnki.1000-0712.170510

College Physics >

2018 , Vol. 37 >Issue 2: 10 - 11

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.170510

On the unitary operator for mutual transformation between coordinate and momentum representations

ZHAN De-hui1 ,
LU Dao-ming1 ,
FAN Hong-yi2

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1.College of Mechanic and Electronic Engineering，Wuyi University，Wuyishan，Fujian 354300，China; 2.Department of Material Science and Engineering，University of Science and Technology of China， Hefei，Anhui 230026，China

Received date: 2017-09-11

Revised date: 2017-10-12

Online published: 2018-02-20

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Abstract

By using the integration within ordered product of operators，we derive the unitary operator for generating the mutual transformation between coordinate and momentum representation，then we apply it to the fractional Fourier transform.

Key words： unitary operator; fractional Fourier transform; coordinate and momentum representation

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ZHAN De-hui1 , LU Dao-ming1 , FAN Hong-yi2 . On the unitary operator for mutual transformation between coordinate and momentum representations[J]. College Physics, 2018 , 37(2) : 10 -11 . DOI: 10.16854 /j.cnki.1000-0712.170510

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