Pseudo-Bosons and Their Coherent States, EPUB eBook

Pseudo-Bosons and Their Coherent States EPUB

Part of the Mathematical Physics Studies series

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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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