New Two-Mode Canonical Operator Realization of Angular Momentum and Generalized Fractional Fourier Transformation Obtained via Entangled State Representation

2014 ◽  
Vol 53 (8) ◽  
pp. 2827-2835
Author(s):  
Hong-yi Fan ◽  
Jun-hua Chen ◽  
Sen-yue Low
Keyword(s):  
Angular Momentum ◽  
Fourier Transformation ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Canonical Operator ◽  
Operator Realization

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.

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.

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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