弱相互作用数学模型的谱理论：中间矢量玻色子W+/-，II的衰变

伪玻色子的更多数学

More mathematics for pseudo-bosons

我们提出了一个伪玻色子的替代定义。这简化了数学结构，最大限度地减少了所需的假设。一些物理的例子进行了讨论，以及一些数学结果有关的双正交集所产生的我们的框架。

弱相互作用数学模型的谱理论：中间矢量玻色子W+/-的衰变。I

Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-. I

我们考虑一个描述自旋为1的大质量玻色子弱衰变为轻子族的截断哈密顿量。哈密顿量是一个自伴算子在一个适当的Fock空间与唯一的基态。我们证明了一个足够小的耦合常数，在基态能量以上和第一阈值以下的一个有限吸收原理和一个有限吸收估计。作为推论，我们证明了在相同的谱区间内不存在本征值和能谱的绝对连续性。

Evidence of a liquid phase in interacting Bosons at intermediate densities

In this paper, we present evidence for a liquid-like phase in systems of many interacting Bosons at intermediate densities. The interacting Bose gas has been studied extensively in the low and high density regimes, in which interactions do not play a physically significant role, and the system behaves similarly to the ideal quantum gas. Instead, we will turn our attention to the intermediate density regime, and report evidence that the system enters a strongly correlated phase where its behavior is markedly different from that of the ideal quantum gas. To do so, we use the Simplified approach …

Bi-squeezed states arising from pseudo-bosons

Extending our previous analysis on bi-coherent states, we introduce here a new class of quantum mechanical vectors, the \emph{bi-squeezed states}, and we deduce their main mathematical properties. We relate bi-squeezed states to the so-called regular and non regular pseudo-bosons. We show that these two cases are different, from a mathematical point of view. Some physical examples are considered.

中间统计、寄生统计、分数统计和遗传统计

Intermediate Statistics, Parastatistics, Fractionary Statistics and Gentileonic Statistics

本文简要分析了预言不同于玻色子、费米子和麦克斯韦子的粒子存在的中间统计、准统计、分数统计和简蒂利昂统计。我们展示了上述每一个统计数据中假设的基本假设及其主要预测，并将其与实验结果进行了比较。考虑到对这些统计所做的工作，我们可以说，有一种倾向认为，真正的粒子，也就是那些可以自由观察到的粒子，只能是玻色子、费米子和麦克斯韦子，而所有其他粒子，与这些粒子不同，都是准粒子。到目前为止，在三维系统中只有玻色子、费米子和麦克斯韦子被自由地探测到。最近在二维系统中发现了具有分数电荷和自旋的准粒子，称为任意子。

快速旋转中的玻色子

Bosons in Rapid Rotation

综述了非简谐势阱中快速旋转稀玻色气体的数学物理研究的一些新进展。