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arXiv 1107.1669math-phhep-thmath.MPphysics.atom-ph
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静止标架瞬时动力学形式下的相对论二能级原子

A Relativistic Version of the Two-Level Atom in the Rest-Frame Instant Form of Dynamics

David Alba, Horace W. Crater, Luca Lusanna

摘要:

我们定义了一个相对论版本的二能级原子,其中一个扩展的原子被替换为一个点粒子携带适当的格拉斯曼变量的描述的二能级结构和电偶极子。在将电偶极表象中的“原子加电-磁场“的孤立系作为参数化Minkowski理论进行研究后,给出了它对惯性静止系的限制和Poincaré生成元的显式形式.量子化后,我们得到一个自旋为1/2电偶极子的二能级原子和Rabi和Jaynes-Cummings模型的哈密顿量的相对论推广。

英文摘要:

We define a relativistic version of the two-level atom, in which an extended atom is replaced by a point particle carrying suitable Grassmann variables for the description of the two-level structure and of the electric dipole. After studying the isolated system "atom plus the electro-magnetic field" in the electric-dipole representation as a parametrized Minkowski theory, we give its restriction to the inertial rest frame and the explicit form of the Poincaré generators. After quantization we get a two-level atom with a spin 1/2 electric dipole and the relativistic generalization of the Hamiltonians of the Rabi and Jaynes-Cummings models.

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