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arXiv quant-ph/0003091quant-phhep-thphysics.atom-ph
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非正则量子光学

Noncanonical quantum optics

Marek Czachor

摘要:

如果我们考虑一个频率不定的谐振子,正则对易关系(CCR)的右手边的修正自然会发生。通过这种非CCR代数对电磁场进行量子化,自然地消除了真空的无限能量,但仍然产生了一个非常类似于量子电动力学的理论。微扰理论的分析表明,非正则理论有一个自动内置的截止,但需要电荷/质量重整化已经在非相对论水平。一个简单的规则,允许比较微扰预测的规范和非规范的理论。唯一真空状态的概念被一组不同的真空所取代。多光子态以标准方式定义,但取决于真空的选择。通过对真空态的简化选择,我们估计了对原子寿命、多光子自发发射和受激发射几率以及普朗克定律的修正。结果与标准结果基本一致。两个不同的候选人的自由场哈密顿量进行了比较。

英文摘要:

Modification of the right-hand-side of canonical commutation relations (CCR) naturally occurs if one considers a harmonic oscillator with indefinite frequency. Quantization of electromagnetic field by means of such a non-CCR algebra naturally removes the infinite energy of vacuum but still results in a theory which is very similar to quantum electrodynamics. An analysis of perturbation theory shows that the non-canonical theory has an automatically built-in cut-off but requires charge/mass renormalization already at the nonrelativistic level. A simple rule allowing to compare perturbative predictions of canonical and non-canonical theories is given. The notion of a unique vacuum state is replaced by a set of different vacua. Multi-photon states are defined in the standard way but depend on the choice of vacuum. Making a simplified choice of the vacuum state we estimate corrections to atomic lifetimes, probabilities of multiphoton spontaneous and stimulated emission, and the Planck law. The results are practically identical to the standard ones. Two different candidates for a free-field Hamiltonian are compared.

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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