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1. Probabilistic and controlled teleportation of an arbitrary single-qubit state via one-dimensional four-qubit cluster-type state | |||
Hao Yuan,Hong-Yan Wen,Lian-Fu Wei | |||
Physics 05 March 2010 | |||
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Abstract:We propose a tripartite scheme for probabilistically teleporting an arbitrary single-qubit state with one-dimensional four-qubit cluster-type state as the quantum channel. In the scheme, Alice and Bob both perform a Bell-state measurement (BSM) on their respective qubit pair in their hands and announce the measurement results via classical communication. With the help of the sender and the controller, the receiver can reconstruct the original state with a certain probability by introducing an auxiliary qubit and making appropriate unitary operations and positive operator-valued measure (POVM). Moreover, the total success probability and classical communication cost of the present scheme are also calculated | |||
TO cite this article:Hao Yuan,Hong-Yan Wen,Lian-Fu Wei. Probabilistic and controlled teleportation of an arbitrary single-qubit state via one-dimensional four-qubit cluster-type state[OL].[ 5 March 2010] http://en.paper.edu.cn/en_releasepaper/content/40444 |
2. Bound States for Spin-0 and Spin-1/2 Particles with Vector and Scalar Hyperbolic Tangent and Cotangent Potentials | |||
Tian Wenjie | |||
Physics 20 November 2009 | |||
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Abstract:This paper analyzes the relativistic bound states with the direct coupling of a vector and a scalar hyperbolic tangent or cotangent potential, viz V_0 tanh(lambda r) and V_0 (lambda r), for particular under the coupling of V(r)=S(r) for s-wave states. The two kinds of potentials are calculated separately as two cases, the comparison of which reflects elegant correspondence throughout the process. To solve the Klein-Gordon equation(KGE) under such circumstances is the crucial work, which lays the foundation to solve Dirac equation(DE), and manifold variable-transformations lead to an object equation which has the familiar structure of hypergeometric equation. The replacements should be carefully selected, among which the technique of flexible parameter is employed for the crucial simplification. The normalization requirement excludes the other induced function of hypergeometric type as a component of the eigenfunction, and breaks off the regular Gauss function to a polynomial, which gives rise to the energy spectrum. Yet, since its the solution of a sextic algebraic equation, an implicit formalism is employed for simplicity. The case of hyperbolic tangent potential and the hyperbolic cotangent potential share the same structure of the object dynamical equation and energy spectrum, yet their eigenfunctions slightly differ on the induced independent variable via -xi and xi. Whereafter, bound states of Dirac equation(DE) based on the complete set [hatH,hatkappa,hatmathbf J 2,hat J_z] is calculated. The specific coupling manner and $s$-wave condition lead to the identical radial DE with that of KGE, which yields the solution for the up component straightforwardly, and subsequently induces the down component. ( Comments: 11 pages, no figure) | |||
TO cite this article:Tian Wenjie . Bound States for Spin-0 and Spin-1/2 Particles with Vector and Scalar Hyperbolic Tangent and Cotangent Potentials[OL].[20 November 2009] http://en.paper.edu.cn/en_releasepaper/content/36868 |
3. Klein-Gordon Bound States in Coulombic Vector and Scalar Singular Potentials with Nonvanishing Centrifugal Effect | |||
Tian Wenjie | |||
Physics 17 November 2009 | |||
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Abstract:This paper analyzes Klein-Gordon bound states with the direct coupling of Coumlombic vector and scalar singular potentials, viz V(r)=-(hcα)/r and S(r)=-(hcα’)/r with the order α’<α on R,where nonvanishing centrifugal effect is taken into account. To obtain the eigenfunction and energy spectrum, two approaches are put forward, the difference between which origins from the manipulations of the coefficient of the centrifugal term. In the first approach, the induced energy spectrum depends on the complete set of quantum numbers {n,l,m} explicitly; in the second approach this dependence is implicit, but it provides a simpler description of the asymptotic behaviors of the wave function at the infinity for compensation. Except for these differences, those two approaches share the same formulation and are in pleasant correspondence. Variable transformations lead the dynamical equation to a confluent hypergeometric equation, subsequently boundary conditions and normalization requirement abandon Kummer’s function of the second kind as a component of the eigenfunction, and break Kumemer’s function of the first kind off to a polynomial to act as the eigenfunction, which also yields the energy spectrum, analytically and explicitly. Eventually, calculation shows that the degree of degeneracy of the energy levels is n^2, and a brief numerical analysis is performed to explore whether extra constraints on {α,α’} would arise or not to guarantee the existence of bound states. | |||
TO cite this article:Tian Wenjie. Klein-Gordon Bound States in Coulombic Vector and Scalar Singular Potentials with Nonvanishing Centrifugal Effect[OL].[17 November 2009] http://en.paper.edu.cn/en_releasepaper/content/36769 |
4. The Spinor Connection and its Dynamical Effects | |||
Gu Yingqiu | |||
Physics 16 April 2009 | |||
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Abstract:The current formalisms of covariant derivatives for a spinor take compact forms, and the geometrical and dynamical effects of the spinor connection are covered under the abstract symbols. The practical calculations for the spinor connection in these formalisms are usually a tiresome and fallible task. In this paper, we divide the spinor connection into two vectors $\\Upsilon_\\mu$ and $\\Omega_\\mu$, where $\\Upsilon_\\mu$ is mainly related to the geometrical calculations, but $\\Omega_\\mu$ leads to gravimagnetic effects. The expression is valid for both the Weyl spinor and the Dirac bispinor, which is not only more convenient for calculation, but also highlights the physical meanings of the spinor connection. On this foundation, we derive the complete classical mechanics from the dynamical equation and get some interesting results. We find in the space-time with intrinsically nondiagonal metric, the orbit of a spinor deviates from the geodesic slightly, so the principle of equivalence is broken by the spinors moving at high speed. | |||
TO cite this article:Gu Yingqiu . The Spinor Connection and its Dynamical Effects[OL].[16 April 2009] http://en.paper.edu.cn/en_releasepaper/content/31458 |
5. Photon-formed structure model for all matters | |||
Hai-Yan Jin | |||
Physics 16 December 2005 | |||
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Abstract:A theory of photon-formed matter structure is proposed in this letter. The main content of this model is to assume that all matters consist of photons. The mass of matter is just a kind of appearance of the mass of photons, which is inside the matter. Based on three new postulates, the behaviors of light and particle are well united. Also this photon-formed matter structure model can explain the mass energy-momentum relation, the relation between photon energy and its frequency and the De Broglie wavelength. | |||
TO cite this article:Hai-Yan Jin. Photon-formed structure model for all matters[OL].[16 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4412 |
6. Geometrical and Physical Interpretations of Electronic Harmonic Oscillations in Four Space Dimensions | |||
Kunming Xu | |||
Physics 13 December 2005 | |||
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Abstract:Following a previous proposition of quaternity spacetime for electronic orbitals in neon shell, this paper describes the geometrical course each electron takes as it oscillates harmonically within a certain quaternity space dimension and provides the concrete connections between geometries and trigonometric wavefunctions that observe Pythagorean theorem. By integrating four quaternity space dimensions with conventional Cartesian coordinate systems in calculus, we explain electronic motions by the Maxwell equation and general Stokes theorem from the principles of rotation operation and space and time symmetry. Altogether with the previous reports, we have effectively established quaternity spacetime as a successful theory in elucidating the orbital shapes and motions of electrons within inert atoms such as helium and neon. We point out once again that 2px, 2py, and 2pz orbitals have different geometrical shapes as well as orthogonal orientations, contrary to the traditional 2p orbital model. | |||
TO cite this article:Kunming Xu. Geometrical and Physical Interpretations of Electronic Harmonic Oscillations in Four Space Dimensions[OL].[13 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4324 |
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