Pseudo-bosons and their coherent states
Author(s)
Bibliographic Information
Pseudo-bosons and their coherent states
（Mathematical physics studies）
Springer, c2022
- :pbk
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"
