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;
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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.
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页码：405 / 412
页数：7
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