罗巴切夫斯基空间中自旋为1的场H_{3}:准球坐标,精确解
Spin 1 field in the Lobachevsky space H_{3}: horospherical coordinates, exact solutions
摘要:
在常负曲率空间H_{3}中构造了自旋为1的场的完整解系。该方法基于Tetrode-Weyl-Fock-Ivanenko提出的四分体法,将10维Duffin-Kemmer形式化推广到曲面模型,并在球坐标系下进行描述。求解过程基本上使用了广义螺旋度算子。Lobachevsky几何沿着z轴作为具有简单反射性质的介质。同时也对无质量情况进行了限制。
英文摘要:
A complete system of solutions for a field with spin 1 in the space of constant negative curvature, Lobachevsky space H_{3}, has been constructed. The treatment is based on 10-dimensional Duffin-Kemmer formalism extended to curved model according to tetrad method by Tetrode-Weyl-Fock-Ivanenko, and specified in horospherical coordinates. The solving procedure substantially uses a generalized helicity operator. The Lobachevsky geometry acts along z axis as a medium with simple reflecting properties. Restriction to massless case is performed as well.
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