Only part of the correlation energy can be obtained from the wave function when expanded as a finite and linear combination of Slater determinants. For the remaining part, it was proposed by several authors to use density-functional theory. Thus, various methods coupling wave functions with density functionals were investigated in the past. In the present a class of such methods was developed, ...

We summarize our results about the quantization of a charged particle motion without spin inside flat box under static electromagnetic field with Landau’s gauge for magnetic field, where Fourier’s transformation was used to analyze problem, point out that there exists wave function which is different one given by Landau same levels. The flux deduced differently previous one, and new solution pr...

This paper considers the scattering of low-frequency elastic waves by a crack in a plate. A simple formula is derived for the re ̄ection coef®cient which serves as a lower bound to the re ̄ection coef®cient at higher frequencies. Notation a half crack length c speed of S-waves in plate cL speed of longitudinal waves in an in®nite medium cT speed of transverse waves in an in®nite medium d half thi...

The author gives an alternative and simple proof of the global existence smooth solutions to Cauchy problem for wave maps from (1+2)-dimensional Minkowski space arbitrary compact Riemannian manifold without boundary, smooth, radially symmetric data. can also treat non-compact under some additional assumptions which generalize existing ones.