标题： 由双正交序列定义的吉布斯态 显示英文标题

标题： Gibbs states defined by biorthogonal sequences

摘要： 受对PT量子力学日益增长的兴趣的推动，本文讨论了广义吉布斯态的一些事实及其相关的类似KMS条件。 为了实现这一点，我们首先考虑一些相似（哈密顿）算子之间的有用联系，并提出了海森堡代数动力学的一些扩展版本，推导出它们的一些性质，这些性质对我们来说是有用的。 显示英文摘要

摘要： Motivated by the growing interest on PT-quantum mechanics, in this paper we discuss some facts on generalized Gibbs states and on their related KMS-like conditions. To achieve this, we first consider some useful connections between similar (Hamiltonian) operators and we propose some extended version of the Heisenberg algebraic dynamics, deducing some of their properties, useful for our purposes.