The Wigner Transform

Publisher:

World Scientific

Publication Date:

2018

Number of Pages:

229

Format:

Paperback

Series:

Advanced Textbooks in Mathematics

Price:

58.00

ISBN:

9781786343093

Category:

Monograph

We do not plan to review this book.

General Mathematical Framework:
- Phase Space Translations and Reflections
- The Cross-Wigner Transform
- The Cross-Ambiguity Function
- Weyl Operators
- Symplectic Covariance
- The Moyal Identity
- The Feichtinger Algebra
- The Cohen Class
- Gaussians and Hermite Functions
- Sub-Gaussian Estimates
Applications to Quantum Mechanics:
- Moyal Star Product and Twisted Convolution
- Probabilistic Interpretation of the Wigner Transform
- Mixed Quantum States and the Density Operator
- The KLM Conditions and the Narcowich–Wigner Spectrum
- Wigner Transform and Quantum Blobs
Appendices:
- A: Sp(n) and Mp(n)
- B: The Symplectic Fourier Transform
- C: Symplectic Diagonalization
- D: Symplectic Capacities