The Weyl Operator and Its Generalization

By Leon Cohen

Introduction.- The Fundamental Idea, Terminology, and Operator Algebra.- The Weyl Operator.- The Algebra of the Weyl Operator.- Product of Operators, Commutators, and the Moyal Sin Bracket.- Some Other Ordering Rules.- Generalized Operator Association.- The Fourier, Monomial, and Delta Function Associations.- Transformation Between Associations.- Path Integral Approach.- The Distribution of a Symbol and Operator.- The Uncertainty Principle.- Phase-Space Distributions.- Amplitude, Phase, Instantaneous Frequency, and the Hilbert Transform.- Time - Frequency Analysis.- The Transformation of Differential Equations into Phase Space.- The Representation of Functions.- The N Operator Case.

• Format: Paperback
• Language: English
• ISBN: 3034802935
• ISBN13: 9783034802932
• Release Date: December 2012
• Publisher: Birkhauser
• Length: 159 Pages
• Weight: 0.65 lbs.
• Dimensions: 0.6" x 6.6" x 9.4"