This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysi…
This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysi…
This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "m…
This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "m…
First Summer School in Analysis and Mathematical Physics: Quantization, the Segal-Bargmann Transform, and Sem…
by Summer School in Analysis and Mathematical Physics, Cuernavaca, Mexico), Villegas-Blas, Carlos, Summer School in Analysis and Mathematical Physics, Cuernavaca, Pérez-Esteva, Salvador, Summer School in Analysis and Mathematical Physics: Quantization, the Segal-Bargmann Transform, and Semiclassical Analysis, Cuernavaca Morelos)
First Summer school in analysis and mathematical physics: quantization, the Segal-Bargmann transform, and s…
by Villegas-Blas, Carlos, Pérez-Esteva, Salvador, Summer school in analysis and mathematical physics, Cuernavaca, Mexique), Universidad nacional autónoma (Mexico)
fromContemporary mathematics - American Mathematical Society (P…
First Summer School in Analysis and Mathematical Physics: quantization, the Segal-Bargmann transform, and s…
by Summer School in Analysis and Mathematical Physics, Cuernavaca, Mexico), Villegas-Blas, Carlos, Pérez-Esteva, Salvador
fromContemporary mathematics (American Mathematical Society)
First Summer School in Analysis and Mathematical Physics: quantization, the Segal-Bargmann transform, and s…
by Summer School in Analysis and Mathematical Physics, Cuernavaca, Mexico), Villegas-Blas, Carlos, Pérez-Esteva, Salvador
fromContemporary mathematics (American Mathematical Society)
1. Phase space in classical mechanics. 1.1. Hamiltonian form of classical mechanics -- 1.2. Trajectories in phase space -- 1.3. Canonical transformations -- 1.4. Coupled harmonic oscillators -- 1.5. Group of linear canonical transformations in four-dimensional phase space -- 1.6…
This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown …