Pseudo-bosons and their coherent states [electronic resource]

• 作者： Bagarello, Fabio.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Mathematical physics studies.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Mathematical physics studies,
• 主題： Bosons. , Mathematical Methods in Physics. , Mathematical Physics. , Quantum Physics. , Applications of Mathematics.
• ISBN： 9783030949990 (electronic bk.) 、 9783030949983 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Bosons and Pseudo-Bosons -- Other Ladder Operators -- Our Way to the BCH Formula -- Bi-coherent States -- Examples of Bi-coherent States -- Weak Pseudo-Bosons and Related Bi-coherent States -- An Application to Transition Probability -- Conclusions -- Appendix.
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• 摘要註: 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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