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
收藏
页码：405 / 412
页数：7
相关论文
共 50 条
  • [41] BOSON OPERATOR REPRESENTATION OF BROWNIAN-MOTION
    STEIGER, UR
    FOX, RF
    JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (09) : 1678 - 1687
  • [42] VELOCITY OPERATOR FOR MANY-BOSON SYSTEMS
    TURSKI, LA
    PHYSICA, 1972, 57 (03): : 432 - &
  • [43] BOSON CREATION BY AN ATOM MOVING NEAR A SURFACE
    MANSON, JR
    RITCHIE, RH
    FERRELL, TL
    PHYSICAL REVIEW B, 1984, 29 (02): : 1080 - 1083
  • [44] Squeezing and higher-order squeezing properties of eigenstates of the operator αqsk
    Wang, Jisuo
    Sun, Changyong
    Chinese Journal of Lasers B (English Edition), 1997, B6 (03): : 223 - 228
  • [45] EFFECTIVE OPERATOR-THEORY IN BOSON MAPPINGS
    NAVRATIL, P
    GEYER, HB
    NUCLEAR PHYSICS A, 1993, 556 (02) : 165 - 189
  • [46] PROJECTION OPERATOR IN THE BOSON-EXPANSION TECHNIQUES
    DOBES, J
    IVANOVA, SP
    JOLOS, RV
    PEDROSA, R
    PHYSICAL REVIEW C, 1990, 41 (04): : 1840 - 1844
  • [47] Boson-conserving one-nucleon transfer operator in the interacting boson model
    Barea, J
    Alonso, CE
    Arias, JM
    PHYSICAL REVIEW C, 2002, 65 (03) : 5
  • [48] Monopole creation operator in the presence of matter
    V. A. Belavin
    M. N. Chernodub
    M. I. Polikarpov
    Journal of Experimental and Theoretical Physics Letters, 2002, 75 : 217 - 220
  • [49] Creation operator for spinons in one dimension
    Talstra, JC
    Strong, SP
    PHYSICAL REVIEW B, 1997, 56 (10): : 6094 - 6099
  • [50] Monopole creation operator in the presence of matter
    Belavin, VA
    Chernodub, MN
    Polikarpov, MI
    JETP LETTERS, 2002, 75 (05) : 217 - 220
12345