Symplectic geometry and quantum mechanics
著者
書誌事項
Symplectic geometry and quantum mechanics
（Operator theory : advances and applications, v. 166 . Advances in partial differential equations）
Birkhäuser Verlag, c2006
- : hbk
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注記
Includes bibliographical references (p. [355]-363) and index
Incorrect ISBN (3764375741) printed on p. [4] of cover
内容説明・目次
内容説明
This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.
目次
Symplectic Geometry.- Symplectic Spaces and Lagrangian Planes.- The Symplectic Group.- Multi-Oriented Symplectic Geometry.- Intersection Indices in Lag(n) and Sp(n).- Heisenberg Group, Weyl Calculus, and Metaplectic Representation.- Lagrangian Manifolds and Quantization.- Heisenberg Group and Weyl Operators.- The Metaplectic Group.- Quantum Mechanics in Phase Space.- The Uncertainty Principle.- The Density Operator.- A Phase Space Weyl Calculus.
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