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Focusing on canonical commutation relations (CCRs) and their deformations, this book explores a special deformed version in the context of PT-quantum mechanics. It examines the mathematical implications and potential physical applications, including the study of non self-adjoint Hamiltonians and a new perspective on position and momentum operators. Additionally, it offers a method for computing path integrals and transition probabilities through bi-coherent states. Aimed at researchers and advanced students, it serves as an introduction to functional analysis and non self-adjoint observables in quantum mechanics.
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Pseudo-Bosons and Their Coherent States, Fabio Bagarello
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- 2022
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