Quantum Harmonic Analysis

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Quantum Harmonic Analysis

Author: Maurice A. de Gosson
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2021-07-05
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
Quantum Harmonic Analysis

Author: Maurice A. de Gosson
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2021-07-05
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
Harmonic Analysis on the Heisenberg Group

Author: Sundaram Thangavelu
language: en
Publisher: Springer Science & Business Media
Release Date: 1998-03-24
This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non-commutative Lie groups, and, hence gives the greatest opportunity for generalizing the remarkable results of Euclidian harmonic analysis.