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arXiv 1904.04050math-phcond-mat.stat-mechhep-thmath.MPquant-ph
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包含散射矩阵与准粒子的散射

Inclusive scattering matrix and scattering of quasiparticles

Albert Schwarz

摘要:

量子理论可以用Weyl或Clifford代数上的正泛函($L$ -泛函)的语言来表述。它表明,这种语言给出了简单的理解图的Keldysh形式主义(在我们的情况下,与图的热场动力学)。在$L$ -泛函的形式中,散射矩阵的矩阵元与包含截面有关,因此我们建议将这一概念命名为“包含散射矩阵”。散射矩阵可以用广义格林函数的壳层值表示。如果我们要分析准粒子的碰撞,这个概念是必要的。

英文摘要:

The quantum theory can be formulated in the language of positive functionals on Weyl or Clifford algebra ($L$-functionals). It is shown that this language gives simple understanding of diagrams of Keldysh formalism (that coincide in our case with the diagrams of thermo-field dynamics). The matrix elements of the scattering matrix in the formalism of $L$-functionals are related to inclusive cross-sections, therefore we suggest the name "inclusive scattering matrix" for this notion. The inclusive scattering matrix can be expressed in terms of on-shell values of generalized Green functions. This notion is necessary if we want to analyze collisions of quasiparticles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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