这本书基于对规范交换关系（CCR）及其可能变形的分析。鉴于最近对PT量子力学的兴趣，作者提出了一种特殊的变形版CCRs，并从数学方面讨论了这种变形的后果，以及它在物理学中的可能应用。其中包括对几个非自伴哈密顿量的分析，对位置和动量算符的新观点，以及使用所谓的双相干态计算路径积分和跃迁概率的一般方法。这本书是写给研究人员的，也适合高级学生阅读。它可以作为函数分析和量子力学中非自伴观测的一些微妙方面的温和介绍。
Pseudo-Bosons and Their Coherent States
This book is based on the analysis of canonical commutation relations (CCRs) and their possible deformations. In light of the recent interest on PT-quantum mechanics, the author presents a special deformed version of the CCRs, and discusses the consequences of this deformation both from a mathematical side, and for its possible applications to physics. These include the analysis of several non self-adjoint Hamiltonians, a novel view to the position and momentum operators, and a general approach to compute path integrals and transition probabilities using the so-called bi-coherent states. The book is meant for researchers and is also suited for advanced students. It can be used as a gentle introduction to some delicate aspects in functional analysis and in quantum mechanics for non self-adjoint observables.
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