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Article
Representation of fuzzy quantum posets of types I, II
Let (Ω,M) be a fuzzy quantum poset of type I, II, or FQP of type I, II for short. For Boolean representations of fuzzy quantum spaces, by a representation of (Ω,M) we mean a quantum logic ℳ (i.e., an orthocomplem...
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Article
Dirac Field of Kaluza–Klein Theory in Weitzenböck Space
The Dirac equation in five-dimensional Weitzenbo;auck space is dervied. The effectof spin–spin interaction induced by torsion is revealed by use of the Diracequation in the weak-field situation. A comparison i...
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Article
Quantal Symmetries in the Nonlinear Sigma Model with Maxwell–Chern–Simons Term
The quantal symmetry property in the CP1 nonlinear sigma model with Abelian–Maxwell–Chern–Simons (AMCS) term in 2 + 1 dimensions is studied. In the Coulomb gauge, the system is quantized in the Faddeev–Senjanovic...
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Article
Quantal Symmetries in the Non-Linear Sigma Model with Maxwell–Chern–Simons Term
The quantal symmetry property in the CP1 non-linear sigma model with Abelian–Maxwell–Chern–Simons (AMCS) term in 2 + 1 dimensions is studied. In the Coulomb gauge, the system is quantized in the Faddeev–Senjan...
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Article
Ward Identities in CP1 Nonlinear σ Model with Maxwell – Chern – Simons Term
In (2+1) space-time dimensions, CP1 nonlinear σ model with Maxwell–Chern–Simons (MCS) term is studied by Ward identities. Firstly we revised, in the Coulomb gauge, the system is quantized in Faddeev–Senjanovic (F...
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Article
Quantization of the Single-qubit Structure with SQUID
The quantization scheme of a single-qubit structure with Superconducting Quantum Interference Device (SQUID) is given. By introducing a unitary matrix and by means of spectral decomposition, the Hamiltonian op...
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Article
Marginal Distributions of Wigner Function in a Mesoscopic L-C Circuit at Finite Temperature and Thermal Wigner Operator
Wigner function in phase space has its physical meaning as marginal probability distribution in coordinate space and momentum space respectively, here we endow the Wigner function with a new physical meaning, ...
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Article
Quantum Superimposing Multiple Anti-Cloning Machine
We prove that the nonorthogonal states randomly selected from a set can evolve into a linear superposition of multiple copies of anti-cloned state (an orthogonal state along with the original) with failure br...
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Article
Entangled States in the Capacitance Coupling Double Josephson Junction Mesoscopic Circuit
The number-phase quantization scheme of the capacitance coupling double Josephson junction mesoscopic circuit is given. The eigenvalues and the eigenstates of the system are investigated. It is found that usi...
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Article
Phase of a Weakly Interacting Bose System with a Time Spontaneous U(1) Symmetry Breaking
We have studied the dynamical and geometric phases of a weakly interacting Bose system with a time spontaneous U(1) symmetry breaking by using of the Lewis-Riesenfeld invariant theory. The geometric Aharonov-Ana...
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Article
Canonical Quantization of Field Theories with Boundaries
The problem of canonical quantization of singular systems in a finite volume is studied by analysing a non-relativistic field theory. Firstly, we take the boundary conditions (BCs) as primary Dirac constraint...
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Article
Total Hamiltonian and Extended Hamiltonian for Constrained Hamilton Systems
For constrained Hamiltonian systems, the motion equations are deduced from total Hamiltonian and extended Hamiltonian with Lagrangian multipliers depending on time t and canonical variables q ...
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Article
The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
According to the Einstein, Weinberg, and Møller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable nonlinear e...
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Article
Arbitrary Wave Relativistic Bound State Solutions for the Eckart Potential
The approximately analytical bound state solutions of the l-wave Klein-Gordon and k-state Dirac equations with the mixed Eckart potentials are carried out by a proper approximation to the centrifugal term. The an...
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Article
Solution to the Schrödinger Equation for the Time-Dependent Potential
In this work, the Schrödinger equation with the time-dependent potential \(V(z,\hat{p},t)=g_{1}(t)z+g_{2}(t)\hat{p}+g_{3}(t)\) ...
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Article
Generalized Canonical Ward Identities
In the framework of Faddeev-Senjanovic (FS) path-integral quantization, CP 1 nonlinear σ model coupled to Non-Abelian Chern-Simons (CS) fields is quantized. Generalized canonical Ward iden...
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Article
Cluster State Entanglement of Semiconductor Quantum Dots Based on Faraday Rotation
We propose a scheme for a large-scale cluster state preparation of single-charged semiconductor quantum dots utilizing Faraday rotation. Without interaction between quantum dots, the exciton induced Faraday ro...
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Article
Entangled State in Quantization of Magnetic Flux Qubits with Mutual Inductance Coupling
Via the Hamilton dynamical approach we have constructed Hamiltonian for the mutual inductance coupling magnetic flux qubits. The entangled state representation is used to propose Cooper-pair number-phase quant...
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Article
Gauge Symmetries and Dirac Conjecture
The gauge symmetries of a constrained system can be deduced from the gauge identities with Lagrange method, or the first-class constraints with Hamilton approach. If Dirac conjecture is valid to a dynamic syst...
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Article
Marginal Distribution of Wigner Function in Mesoscopic RLC Circuit at Finite Temperature and Its Application
By means of the Weyl correspondence and Wigner theorem the marginal distribution of Wigner function in mesoscopic RLC circuit at finite temperature was discussed. Here we endow the Wigner function with a new p...