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Search Results: 1 - 10 of 133637 matches for " Yu-Fen Liu "
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Triality, Biquaternion and Vector Representation of the Dirac Equation
Liu Yu-Fen
Physics , 2001,
Abstract: The triality properties of Dirac spinors are studied, including a construction of the algebra of (complexified) biquaternion. It is proved that there exists a vector-representation of Dirac spinors. The massive Dirac equation in the vector-representation is actually self-dual. The Dirac's idea of non-integrable phases is used to study the behavior of massive term.
Triality and Dual Equivalence Between Dirac Field and Topologically Massive Gauge Field
Liu Yu-Fen
Mathematics , 2006,
Abstract: It is proved that there exist a vector representation of Dirac's spinor field and in one sense it is equivalent to biquaternion (i.e. complexified quaternion) representation. This can be considered as a generalization of Cartan's idea of triality to Dirac's spinors. In the vector representation the first order Dirac Lagrangian is dual equivalent to the two order Lagrangian of topologically massive gauge field. The potential field which corresponds to the Dirac field is obtained by using master (or parent) action approach. The novel gauge field is self-dual and contains both anti-symmetric Lie and symmetric Jordan structure.
Using a Feminist Interpretation of the Bible’s Book of Ruth to Address Taiwanese Female Pastors’ Financial Autonomy and Self-Esteem  [PDF]
Yu-Fen Lin
Psychology (PSYCH) , 2018, DOI: 10.4236/psych.2018.99134
Abstract: This study used Ruth’s story in the Bible and reinterpreted it with feminist theological perspectives to address the related issues of Taiwanese female pastors’ economic independence and autonomy. This study explored the phenomenological and contextual world of 27 female pastors’ mental wellness and specifically how they deal with the hardship of financial inequality when living in a culturally patriarchal society and serving within the male dominant church system. Four themes were generated to report these female pastors’ shared experiences through qualitative method. Counseling applications were provided and discussed in this article.
Influence of surface texture by NH4Cl aqueous solution on the electrical and optical properties of al-doped zinc oxide films
Xiao-Yong, Gao;Qing-Geng, Lin;Yu-Fen, Liu;Jing-Xiao, Lu;
Brazilian Journal of Physics , 2008, DOI: 10.1590/S0103-97332008000300005
Abstract: aluminum-doped zinc oxide (azo) films were prepared on glass substrate by mid-frequency direct current reactive magnetron sputtering (mf-dc-ms). the influence of surface texture by nh4cl aqueous solution on the surface morphology, electrical and optical properties of the azo films was systematically investigated by scanning electron microscope, four-point probe and ultraviolet-visible-near infrared spectrophotometer, respectively. the results indicate that textured azo film obtains a better texture surface for light trapping. the reflectivity for textured azo film decreases drastically in visible light region and the electrical resistivity increases, which can be explained by the textured surface morphology of azo film. the results above prove that nh4cl aqueous solution is an appropriate candidate for azo wet etching because of its easy control and relatively low cost.


物理学报 , 1981,
Abstract: It is more difficult to find an exact solution of the field equations in the gauge theory of gravitation as compared with finding that in Einstein's theory. As far as some problems in physics are concerned, however, it is sufficient to obtain a Newtonian approximate solution and a post-Newtonian approximate solution. In this note the L?U(1) gauge theory of gravitation is discussed. A special exact solution and the approximation to first order to the spherically symmetric and static field of a charged mass point are obtained.
Diaquabis(N,N′-dibenzylethane-1,2-diamine-κ2N,N′)nickel(II) dichloride N,N-dimethylformamide solvate
Yu-Fen Liu,Hai-Tao Xia,Da-Qi Wang,Xiao-Lin Gong
Acta Crystallographica Section E , 2009, DOI: 10.1107/s1600536809046042
Abstract: The asymmetric unit of the title complex, [Ni(C16H20N2)2(H2O)2]Cl2·C3H7NO, consists of two NiII atoms, each lying on an inversion center, two Cl anions, two N,N′-dibenzylethane-1,2-diamine ligands, two coordinated water molecules and one N,N-dimethylformamide solvent molecule. Each NiII atom is six-coordinated in a distorted octahedral coordination geometry, with the equatorial plane formed by four N atoms and the axial positions occupied by two water molecules. The complex molecules are linked into a chain along [001] by N—H...Cl, N—H...O and O—H...Cl hydrogen bonds. The C atoms and H atoms of the solvent molecule are disordered over two sites in a ratio of 0.52 (2):0.48 (2).
Yu-Fen Liu,Da-Fu Rong,Hai-Tao Xia,Da-Qi Wang
Acta Crystallographica Section E , 2009, DOI: 10.1107/s1600536809044997
Abstract: In the title complex, [Cu2Cl4(C17H22N2)2], the CuII cation is coordinated by a N,N′-dibenzylpropane-1,2-diamine ligand and two Cl anions, and a Cl anion from an adjacent molecule further bridges to the CuII cation in the apical position, with a longer Cu—Cl distance of 2.9858 (18) , forming a centrosymmetric dimeric complex in which each CuII cation is in a distorted square-pyramidal geometry. Intramolecular N—H...Cl hydrogen bonding is observed in the dimeric complex.
Hai-Tao Xia,Yu-Fen Liu,Liang Chen,Da-Qi Wang
Acta Crystallographica Section E , 2008, DOI: 10.1107/s1600536808032960
Abstract: In the title compound, [EuSm(C12H9O2)6(C12H8N2)2], the metal site is statistically occupied (50:50) by Eu and Sm atoms, forming a centrosymmetric complex. The metal site is nine-coordinate, in a distorted monocapped square-antiprismatic coordination geometry. Molecules are linked into three chains by C—H...π interactions and C—H...O hydrogen bonds. The combination of these chains generates a three-dimensional framework structure. One of the bridging naphthalene-1-acetate ligands was found to be disordered over two sites; the site occupancies for the naphthylmethyl group refined to 0.628 (14) and 0.372 (14).
4-Methyl-2-oxo-2,3-dihydro-1-benzopyran-7-yl benzenesulfonate
Shu-Ping Yang,Da-Qi Wang,Li-Jun Han,Yu-Fen Liu
Acta Crystallographica Section E , 2008, DOI: 10.1107/s1600536808032005
Abstract: The title compound, C16H12O5S, is a derivative of coumarin. The dihedral angle between the coumarin ring system and the phenyl ring is 65.9 (1)°. In the crystal structure, molecules are linked by weak C—H...O hydrogen bonding to form molecular ribbons.
Bis{6,6′-dimethoxy-2,2′-[ethane-1,2-diylbis(iminomethylene)]diphenolato(1.5 )-κ4O,N,N′,O′}praeseodymium(III)
Hai-Tao Xia,Yu-Fen Liu,Shu-Ping Yang,Da-Qi Wang
Acta Crystallographica Section E , 2009, DOI: 10.1107/s1600536809001500
Abstract: The title compound, [Pr(C18H22.5N2O4)2], is isotypic with its Er and Tb analogues. All interatomic distances, angles and the hydrogen bond geometry are very similar for the three structures..
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