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Symplectic Methods in Harmonic Analysis and in Mathematical Physics
Heisenberg–Weyl and Grossmann–Royer Operators
other
Author(s):
Maurice A. de Gosson
Publication date
(Online):
July 13 2011
Publisher:
Springer Basel
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Carl Grossmann Books
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Book Chapter
Publication date (Print):
2011
Publication date (Online):
July 13 2011
Pages
: 91-116
DOI:
10.1007/978-3-7643-9992-4_8
SO-VID:
de09ddda-2c0f-4b6d-bc8d-e0987f7fc575
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Book chapters
pp. 3
Hamiltonian Mechanics in a Nutshell
pp. 19
The Symplectic Group
pp. 31
Free Symplectic Matrices
pp. 41
The Group of Hamiltonian Symplectomorphisms
pp. 51
Symplectic Capacities
pp. 65
Uncertainty Principles
pp. 79
The Metaplectic Group
pp. 91
Heisenberg–Weyl and Grossmann–Royer Operators
pp. 117
Cross-ambiguity and Wigner Functions
pp. 137
The Weyl Correspondence
pp. 163
Coherent States and Anti-Wick Quantization
pp. 185
Hilbert–Schmidt and Trace Class Operators
pp. 205
Density Operator and Quantum States
pp. 223
Shubin’s Global Operator Calculus
pp. 247
The Schrödinger Equation
pp. 261
The Feichtinger Algebra
pp. 275
The Modulation Spaces $$M_s^q$$
pp. 291
Bopp Pseudo-differential Operators
pp. 307
Applications of Bopp Quantization
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