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Phys. Rev. A 54, 5295–5298 (1996)

Dual eigenkets of the Susskind-Glogower phase operator

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Hong-yi Fan and Min Xiao
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People's Republic of China
Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701

Received 1 July 1996; published in the issue dated December 1996

By contour integration we show that the phase operator e⁁-iφ (one of the pair of Susskind-Glogower operators) also possesses eigenkets |γ〉*, which are the dual vector of e⁁iφ’s eigenkets. The properties of |γ〉* are studied and we see that |γ〉* and e⁁iφ’s eigenkets can also make up a phase-state representation. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.54.5295
DOI:
10.1103/PhysRevA.54.5295
PACS:
42.50.Dv, 03.65.Ca
 
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