Wavefunction of a pair coherent state in the entangled state representation as an eigenfunction of a type of Fokker–Planck differential operator

2006 ◽  
Vol 39 (31) ◽  
pp. 9831-9838 ◽  
Author(s):  
Hong-yi Fan ◽  
Xu-bing Tang
Keyword(s):  
Differential Operator ◽  
Coherent State ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Pair Coherent State ◽  
Fokker Planck

New Complex Function Space Related to Both Entangled State Representation and Spin Coherent State

2020 ◽  
Vol 26 (1) ◽  
pp. 7-13
Author(s):  
李兰兰 LI Lan-lan ◽  
张科 ZHANG Ke ◽  
余海军 YU Hai-jun ◽  
杜建明 DU Jian-ming ◽  
范洪义 FAN Hong-yi
Keyword(s):  
Coherent State ◽  
Function Space ◽  
Complex Function ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Spin Coherent State

THE MIXED COHERENT STATE REPRESENTATION OF THE DENSITY OPERATOR IN THERMO-FIELD DYNAMICS

2007 ◽  
Vol 21 (04) ◽  
pp. 183-188 ◽  
Author(s):  
H.-Y. FAN ◽  
H.-L. LU
Keyword(s):  
Coherent State ◽  
Density Operator ◽  
Master Equations ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Thermo Field Dynamics

In the framework of thermo-field dynamics, invented by Umezawa et al., we construct a mixed coherent state representation of density operator ρ. This new representation is useful because it provides an approach to retrieve ρ from its c-number solution of master equations in the entangled state representation.

APPLICATION OF ENTANGLED STATE IN QUANTIZING SUPERCONDUCTING CAPACITOR MODEL IN THE PRESENCE OF A VOLTAGE BIAS AND A CURRENT BIAS

2004 ◽  
Vol 18 (02) ◽  
pp. 233-240 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Operator Theory ◽  
Hamiltonian Operator ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
Voltage Bias ◽  
A Current

Based on the entangled state representation and the appropriate bosonic phase operator we develop the superconducting capacitor model in the presence of a voltage bias and a current bias. In so doing, the full Hamiltonian operator theory for a superconducting barrier is established.

New Parameterized Coherent-Entangled State Representation and Its Applications

2013 ◽  
Vol 52 (7) ◽  
pp. 2255-2262
Author(s):  
Wen-Wei Luo ◽  
Xiang-Guo Meng ◽  
Qin Guo ◽  
Shan-Jun Ma
Keyword(s):  
Entangled State ◽  
Entangled State Representation ◽  
State Representation
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