scholarly journals On the Quantum Phase Operator for Coherent States

2004 ◽  
Vol 70 (1) ◽  
pp. 26-32 ◽  
Author(s):  
Bo-Sture K Skagerstam ◽  
Bjørn Å Bergsjordet
Keyword(s):  
Coherent States ◽  
Quantum Phase ◽  
Phase Operator

MATHEMATICAL ASPECTS OF QUANTUM PHASE

1995 ◽  
Vol 09 (20) ◽  
pp. 2597-2687 ◽  
Author(s):  
D.A. DUBIN ◽  
M.A. HENNINGS ◽  
T.B. SMITH
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Function Theory ◽  
Theory Of Measurement ◽  
Quantum Phase ◽  
Phase Operator ◽  
Current State ◽  
Classical Function ◽  
Quantum Theory Of Measurement

We consider the current state of the quest for a quantum phase operator, which started in the earliest days of quantum mechanics.4–7 Particular emphasis has been placed on analysis of the structure of the several distinct theories, both physical and mathematical, which has led us from classical function theory to the quantum theory of measurement.

Approximations to the quantum phase operator

1995 ◽  
Vol 28 (23) ◽  
pp. 6809-6856 ◽  
Author(s):  
M A Hennings ◽  
T B Smith ◽  
D A Dubin
Keyword(s):  
Quantum Phase ◽  
Phase Operator

PHASE OPERATOR AND PHASE STATE IN THERMO FIELD DYNAMICS

2009 ◽  
Vol 24 (15) ◽  
pp. 1219-1226 ◽  
Author(s):  
HONG-YI FAN ◽  
NIAN-QUAN JIANG
Keyword(s):  
Coherent States ◽  
Phase State ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
Thermo Field Dynamics ◽  
Limiting Case ◽  
Thermo Entangled State Representation ◽  
Thermo Entangled State

We extend the Susskind–Glogower phase operator and phase state in quantum optics to thermo field dynamics (TFD). Based on the thermo entangled state representation, we introduce thermo excitation and de-excitation operators with which the phase operator and phase state in TFD can be constructed. The phase state treated as a limiting case of a new SU(1, 1) coherent states is also exhibited.

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