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关于“具有三种振荡模式的Tavis-Cummings模型的代数方法”的评论[J. Math. Phys. 59,073506(2018)]

A Comment on "Algebraic approach to the Tavis-Cummings model with three modes of oscillation" [J. Math. Phys. 59, 073506 (2018)]

Viani S. Morales-Guzman, Jorge G. Hirsch

摘要:

Choreño等人[J. Math. Phys. 59,073506(2018)]报告了Tavis-Cummings模型共振情况的解析解,通过将其映射到具有三个玻色子的哈密顿量并应用Bogoliubov变换获得。这一评论指出,所采用的Bogoliubov变换不是幺正的,不能反转,也不能强制模型的对称性。

英文摘要:

Choreño et al. [J. Math. Phys. 59, 073506 (2018)] reported analytic solutions to the resonant case of the Tavis-Cummings model, obtained by mapping it to a Hamiltonian with three bosons and applying a Bogoliubov transformation. This comment points out that the Bogoliubov transformation employed is not unitary, cannot be inverted, and cannot enforce the symmetries of the model.

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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