Pseudo-Bosons And Their Coherent States (Mathematical Physics Studies) - 9783030950019

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.

• | Author: Fabio Bagarello
• | Publisher: Springer
• | Publication Date: Apr 23, 2023
• | Number of Pages: 212 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 3030950018
• | ISBN-13: 9783030950019