Application of Gaussian integration in quantum representation theory

REN Gang, DU Jian-ming, ZHANG Wen-hai

doi:10.16854 /j.cnki.1000-0712.180450

College Physics >

2019 , Vol. 38 >Issue 3: 4

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.180450

Application of Gaussian integration in quantum representation theory

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School of Electronic Engineering，Huainan Normal University，Huainan，Anhui 232038，China

Received date: 2018-08-04

Revised date: 2018-10-30

Online published: 2019-04-25

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Abstract

At first，the normal product form of the vacuum projection operator is proved and then the Gaussian

integral in mathematics is extended to the integral form of the quantum operator. Using the completeness and symmetry

of quantum representation，the concrete forms of the coordinate representation，momentum representation，intermediate

representation and coherent state representation are given.

Key words： ; Gaussian integral; quantum representation; technique of integration within an ordered product of operators

Cite this article

REN Gang, DU Jian-ming, ZHANG Wen-hai . Application of Gaussian integration in quantum representation theory[J]. College Physics, 2019 , 38(3) : 4 . DOI: 10.16854 /j.cnki.1000-0712.180450

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