Adiabatic invariant of electron motion in slowly varying magnetic field studied with the squeezing mechanism in entangled state representation

Optik ◽  
2017 ◽  
Vol 135 ◽  
pp. 383-388 ◽  
Author(s):  
Xue-Fen Xu ◽  
Hong-Yi Fan
Keyword(s):  
Magnetic Field ◽  
Adiabatic Invariant ◽  
Entangled State ◽  
Electron Motion ◽  
Entangled State Representation ◽  
State Representation

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.

WEYL CORRESPONDENCE FORMALISM FOR DESCRIBING ELECTRON UNDER UNIFORM MAGNETIC FIELD STUDIED BY VIRTUE OF THE ENTANGLED STATE REPRESENTATION

2011 ◽  
Vol 25 (08) ◽  
pp. 1029-1036
Author(s):  
NAN-RUN ZHOU ◽  
LI-YUN HU ◽  
HONG-YI FAN
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Weyl Function ◽  
Quantum States ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Wigner Operator ◽  
Weyl Correspondence ◽  
Quantum Hamiltonian

Based on the entangled state representation for describing electron's coordinates under uniform magnetic field, we establish a one-to-one correspondence between quantum Hamiltonian and its classical Weyl function through the introduction of Wigner operator. We also study some new important properties of Wigner function of electron's quantum states, such as its upper bound, and its relation with electron's wave function. These discussions demonstrate the beauty and elegance of 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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