Wave Equation and Causality Violation
Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10.In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.
Wave operators for pairs of spaces and the Klein-Gordon equation.
Wave packets techniques
Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation
We consider an effective model of nuclear matter including spin and isospin degrees of freedom, described by an -body Hamiltonian with suitably renormalized two-body and three-body interaction potentials. We show that the corresponding mean-field theory (the time-dependent Hartree-Fock approximation) is “exact” as tends to infinity.
Weak Limits of Solutions to Semilinear Hyperbolic Sytems.
Why extended numbers in supersymmetry
Wigner distribution functions and the representation of canonical transformations in time-dependent quantum mechanics.
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity