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Coherent states (CS) were originally introduced in 1926 by
Schroedinger and rediscovered in the early 1960s in the context of
laser physics. Since then, they have evolved into an extremely rich
domain that pervades virtually every corner of physics, and have
also given rise to a range of research topics in mathematics. The
purpose of the 2016 CIRM conference was to bring together leading
experts in the field with scientists interested in related topics,
to jointly investigate their applications in physics, their various
mathematical properties, and their generalizations in many
directions. Instead of traditional proceedings, this book presents
sixteen longer review-type contributions, which are the outcome of
a collaborative effort by many conference participants,
subsequently reviewed by independent experts. The book aptly
illustrates the diversity of CS aspects, from purely mathematical
topics to physical applications, including quantum gravity.
This book presents the Proceedings of the 15th International
Conference on Non-Hermitian Hamiltonians in Quantum Physics, held
in Palermo, Italy, from 18 to 23 May 2015. Non-Hermitian operators,
and non-Hermitian Hamiltonians in particular, have recently
received considerable attention from both the mathematics and
physics communities. There has been a growing interest in
non-Hermitian Hamiltonians in quantum physics since the discovery
that PT-symmetric Hamiltonians can have a real spectrum and thus a
physical relevance. The main subjects considered in this book
include: PT-symmetry in quantum physics, PT-optics, Spectral
singularities and spectral techniques, Indefinite-metric theories,
Open quantum systems, Krein space methods, and Biorthogonal systems
and applications. The book also provides a summary of recent
advances in pseudo-Hermitian Hamiltonians and PT-symmetric
Hamiltonians, as well as their applications in quantum physics and
in the theory of open quantum systems.
This book presents the Proceedings of the 15th International
Conference on Non-Hermitian Hamiltonians in Quantum Physics, held
in Palermo, Italy, from 18 to 23 May 2015. Non-Hermitian operators,
and non-Hermitian Hamiltonians in particular, have recently
received considerable attention from both the mathematics and
physics communities. There has been a growing interest in
non-Hermitian Hamiltonians in quantum physics since the discovery
that PT-symmetric Hamiltonians can have a real spectrum and thus a
physical relevance. The main subjects considered in this book
include: PT-symmetry in quantum physics, PT-optics, Spectral
singularities and spectral techniques, Indefinite-metric theories,
Open quantum systems, Krein space methods, and Biorthogonal systems
and applications. The book also provides a summary of recent
advances in pseudo-Hermitian Hamiltonians and PT-symmetric
Hamiltonians, as well as their applications in quantum physics and
in the theory of open quantum systems.
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.
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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