We present and compare two different techniques to obtain the multi-phase solutions for the Schrödinger equation in the semiclassical limit. The first is Whitham’s averaging method, which gives the modulation equations governing the evolution of multi-phase solutions. The second is the Wigner transform, a convenient tool to derive the semiclassical limit equation in the phase space—the Vlasov e...

b ackground : tuberculosis is a crucial health problem. establishing a rapid, reliable and still inexpensive diagnostic method for tuberculosis seems to be substantial in developing countries where tb has very high incidence rate . methods:   an indirect  enzyme-linked  immunosorbent  assay (elisa )   was established to detect serum antibodies against mycobacterium  tuberculosis. three kinds of...