This
note explains the following topics: Symplectic geometry, Fourier transform,
stationary phase, Quantization of symbols, Semiclassical defect measures,
Eigenvalues and eigenfunctions, Exponential estimates for eigenfunctions,
symbol calculus, Quantum ergodicity and Quantizing symplectic
transformations.
This note covers the following topics:From classical mechanics to quantum mechanics, Localized
version Karadzhov, Uncertainty principle and Weyl term, Localization of the
eigen functions, Short introduction to the h pseudo differential calculus, About
global classes, Elliptic theory, Essential self adjointness and semi boundedness
and functional calculus.
This PDF book covers the following topics related to Classical
Analysis : Introduction, Complex Numbers, the Theory of Convergence, Continuous
Functions and Uniform Convergence, the Theory of Riemann Integration.
This
note explains the following topics: Symplectic geometry, Fourier transform,
stationary phase, Quantization of symbols, Semiclassical defect measures,
Eigenvalues and eigenfunctions, Exponential estimates for eigenfunctions,
symbol calculus, Quantum ergodicity and Quantizing symplectic
transformations.
This note is for students to have
mastered the knowledge of complex function theory in which the classical
analysis is based. The main theme of this course note is to explain some
fundamentals of classical transcendental functions which are used
extensively in number theory, physics,engineering and other pure and applied
areas.