ENTANGLED STATE REPRESENTATIONS IN NONCOMMUTATIVE PHASE SPACE

2009 ◽  
Vol 24 (25n26) ◽  
pp. 4685-4693
Author(s):  
GUANG-JIE GUO ◽  
CHAO-YUN LONG ◽  
SHUI-JIE QIN ◽  
ZHENG-REN ZHANG ◽  
HUA-XIONG CHEN
Keyword(s):  
Energy Spectrum ◽  
Phase Space ◽  
Harmonic Oscillator ◽  
Entangled State ◽  
Two Dimensional ◽  
Entangled State Representation ◽  
State Representation ◽  
Noncommutative Phase Space

The entangled state representation has been constructed on noncommutative phase space. Using this appropriate representation, the energy spectrum of general two-dimensional harmonic oscillator has been obtained exactly.

ATOMIC COHERENT STATES AS THE EIGENSTATES OF A TWO-DIMENSIONAL ANISOTROPIC HARMONIC OSCILLATOR IN A UNIFORM MAGNETIC FIELD

2009 ◽  
Vol 24 (38) ◽  
pp. 3129-3136 ◽  
Author(s):  
XIANG-GUO MENG ◽  
JI-SUO WANG ◽  
HONG-YI FAN
Keyword(s):  
Magnetic Field ◽  
Harmonic Oscillator ◽  
Coherent States ◽  
Uniform Magnetic Field ◽  
Hermite Polynomial ◽  
Entangled State ◽  
Two Dimensional ◽  
Entangled State Representation ◽  
Single Variable ◽  
State Representation

In the newly constructed entangled state representation embodying quantum entanglement of Einstein, Podolsky and Rosen, the usual wave function of atomic coherent state ∣τ〉 = exp (μJ+-μ*J-)∣j, -j〉 turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2j, where j is the spin value. We then prove that a two-dimensional time-independent anisotropic harmonic oscillator in a uniform magnetic field possesses energy eigenstates which can be classified as the states ∣τ〉 in terms of the spin values j.

ENERGY SPECTRUM OF MOTT–WANNIER EXCITON STUDIED BY VIRTUE OF THE EXCITON ENTANGLED STATE REPRESENTATION INSTEAD OF K·P PERTURBATION THEORY

2005 ◽  
Vol 19 (13n14) ◽  
pp. 637-642 ◽  
Author(s):  
HONG-YI FAN ◽  
HUI ZOU ◽  
YUE FAN ◽  
QIU-YU LIU
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
New Approach

We introduce the exciton entangled state. We show that the energy spectrum of Mott–Wannier exciton can be exactly derived by virtue of the entangled state representation. In contrast to the K · P perturbation theory this new approach seems non-perturbative, direct and exact.

scholarly journals Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

2020 ◽  
Vol 08 (12) ◽  
pp. 2801-2823
Author(s):  
Martin Tcoffo ◽  
Germain Yinde Deuto ◽  
Issofa Nsangou ◽  
Armel Azangue Koumetio ◽  
Lylyane S. Yonya Tchapda ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Space ◽  
Harmonic Oscillator ◽  
Two Dimensional ◽  
Magnetic Field Effects ◽  
Noncommutative Phase Space ◽  
Field Effects

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

scholarly journals Dirac’s Method for the Two-Dimensional Damped Harmonic Oscillator in the Extended Phase Space

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 180 ◽  
Author(s):  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Harmonic Oscillator ◽  
Canonical Quantization ◽  
Extended Phase Space ◽  
Two Dimensional ◽  
Class Constraint ◽  
Extended Phase ◽  
Damped Harmonic Oscillator ◽  
Points Of View ◽  
Space Description

The system of a two-dimensional damped harmonic oscillator is revisited in the extended phase space. It is an old problem that has already been addressed by many authors that we present here with some fresh points of view and carry on a whole discussion. We show that the system is singular. The classical Hamiltonian is proportional to the first-class constraint. We pursue with the Dirac’s canonical quantization procedure by fixing the gauge and provide a reduced phase space description of the system. As a result, the quantum system is simply modeled by the original quantum Hamiltonian.

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