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Symplectic Methods in Harmonic Analysis and in Mathematical Physics by Maurice A. de Gosson

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About this book :-
Symplectic Methods in Harmonic Analysis and in Mathematical Physics written by Maurice Gosson . This book is partially based on a series of lectures which gave during the fall term 2009 at the NuHAG Institute at the University of Vienna. It therefore has a structure reminiscent of a “Lecture Notes” monograph. The book easier and more enjoyable to a majority of students.

Book Detail :-
Title: Symplectic Methods in Harmonic Analysis and in Mathematical Physics
Edition:
Author(s): Maurice A. de Gosson
Publisher: Cambridge University Press
Series:
Year: 2010
Pages: 362
Type: PDF
Language: English
ISBN: 978-3-7643-9991-7
Country: Austria
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About Author :-
The author Maurice Gosson (born 1948), is an Austrian mathematician and mathematical physicist. He born in 1948 in Berlin. He is currently a Senior Researcher at the Numerical Harmonic Analysis Group (NuHAG) of the University of Vienna, Austria

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Book Contents :-
Symplectic Methods in Harmonic Analysis and in Mathematical Physics written by Maurice Gosson cover the following topics. '
Part-I Symplectic Mechanics
Hamiltonian Mechanics in a Nutshell
The Symplectic Group
Free Symplectic Matrices
The Group of Hamiltonian Symplectomorphisms
Symplectic Capacities
Uncertainty Principles
Part-II Harmonic Analysis in Symplectic Spaces
The Metaplectic Group
Heisenberg–Weyl and Grossmann–Royer Operators
Cross-ambiguity and Wigner Functions
The Weyl Correspondence
Coherent States and Anti-Wick Quantization
Hilbert–Schmidt and Trace Class Operators
Density Operator and Quantum States
Part-III Pseudo-differential Operators and Function Spaces
Shubin’s Global Operator Calculus
Part-IV Applications
The Schr¨odinger Equation
The Feichtinger Algebra
The Modulation Spaces Mqs
Bopp Pseudo-differential Operators
Applications of Bopp Quantization


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