Time evolution of angular momentum coherent state derived by virtue of entangled state representation and a new binomial theorem

2019 ◽  
Vol 28 (10) ◽  
pp. 100301 ◽  
Author(s):  
Ji-Suo Wang ◽  
Xiang-Guo Meng ◽  
Hong-Yi Fan
Keyword(s):  
Angular Momentum ◽  
Coherent State ◽  
Time Evolution ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Binomial Theorem

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.

EINSTEIN–PODOLSKY–ROSEN ENTANGLED STATE REPRESENTATION FOR ANGULAR-MOMENTUM AND RADIUS ENTANGLEMENT

2004 ◽  
Vol 18 (07) ◽  
pp. 1043-1053 ◽  
Author(s):  
HONG-YI FAN ◽  
JUN-HUA CHEN
Keyword(s):  
Angular Momentum ◽  
Physical System ◽  
Total Momentum ◽  
Entangled State ◽  
Quantum Mechanical ◽  
Entangled State Representation ◽  
State Representation ◽  
Common Eigenvector ◽  
Einstein Podolsky Rosen ◽  
The Common

By comparison with the Einstein–Podolsky–Rosen coordinate-momentum entangled state, which is the common eigenvector of two particles' relative coordinate and total momentum, we construct a new quantum mechanical entangled state representation, namely, the entangled state representation of angular-momentum and radius. A concrete physical system which can embody the new quantum entanglement is analyzed.

ENTANGLED STATE REPRESENTATION FOR A PARTICLE ON A CIRCLE STUDIED IN TERMS OF BOSONIC OPERATOR REALIZATION OF ANGULAR MOMENTUM

2006 ◽  
Vol 21 (27) ◽  
pp. 2079-2085 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Quantum Mechanics ◽  
Angular Momentum ◽  
Entangled States ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
New Formalism ◽  
Bosonic Operator ◽  
Operator Realization

By introducing the bosonic operator realization of angular momentum, we establish the entangled state representation for describing quantum mechanics of a particle on a circle. The phase operator, the angular momentum eigenstates, the lowering and ascending operators for angular momentum are all well expressed in the bosonic realization with the aid of appropriate entangled states, i.e. we establish a new formalism for the quantum mechanics of a particle on a circle.

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