Eigenstates of boson creation operator

被引：0

作者：

H.-y. Fan

A. Wünsche

机构：

[1] Department of Applied Physics,

[2] Shanghai Jiao Tong University,undefined

[3] Shanghai 200030,undefined

[4] P.R. China and Department of Material Science and Engineering,undefined

[5] University of Science and Technology of China,undefined

[6] Hefei 230026,undefined

[7] P.R. China,undefined

[8] Institut für Physik,undefined

[9] Humboldt-Universität,undefined

[10] Invalidenstr. 110,undefined

[11] 10115 Berlin,undefined

[12] Germany,undefined

来源：

The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics | 2001年 / 15卷

关键词：

PACS. 42.50.Dv Nonclassical field states; squeezed, antibunched, and sub-Poissonian states; operational definitions of the phase of the field; phase measurements;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We examine the existence of right-hand eigenstates (or eigenkets) of the boson creation operator a and determine their coordinate and their Bargmann representation. The eigenkets of the creation operator are ultrasingular and cannot be considered as a limiting case of normalizable states. Applications of these eigenstates as auxiliary states for purposes of representation of states by path integrals over coherent states are discussed. A completeness relation for coherent states on paths through the complex plane is derived and special examples of its application are considered.

引用

页码：405 / 412

页数：7

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