Symplectic Geometry and Quantum Mechanics

Authors:

ISBN: 978-3-7643-7574-4 (Print) 978-3-7643-7575-1 (Online)

Table of contents (10 chapters)

  1. Symplectic Geometry

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-26

      Symplectic Spaces and Lagrangian Planes

    3. No Access

      Book Chapter

      Pages 27-63

      The Symplectic Group

    4. No Access

      Book Chapter

      Pages 65-94

      Multi-Oriented Symplectic Geometry

    5. No Access

      Book Chapter

      Pages 95-119

      Intersection Indices in Lag(n) and Sp(n)

  2. Heisenberg Group, Weyl Calculus, and Metaplectic Representation

    1. Front Matter

      Pages 121-121

    2. No Access

      Book Chapter

      Pages 123-157

      Lagrangian Manifolds and Quantization

    3. No Access

      Book Chapter

      Pages 159-193

      Heisenberg Group and Weyl Operators

    4. No Access

      Book Chapter

      Pages 195-233

      The Metaplectic Group

  3. Quantum Mechanics in Phase Space

    1. Front Matter

      Pages 235-235

    2. No Access

      Book Chapter

      Pages 237-269

      The Uncertainty Principle

    3. No Access

      Book Chapter

      Pages 271-302

      The Density Operator

    4. No Access

      Book Chapter

      Pages 303-332

      A Phase Space Weyl Calculus