In a recent paper by M A F Gomes and S K Adhikari(J.Phys.(B30) ,5987.(1997)), a matrix formulation of the Bohr-Sommerfeld (mBS) quantization rule has been applied to the study of bound states in one-dimensional quantum wells. They have observed that the usual Bohr-Sommerfeld (BS) and the WentzelKramers-Brillouin (WKB) quantization rules give poor estimates of the eigen energies of the two confi...

A bstract The Bogoliubov transformation in cosmological particle production can be explained by the Stokes phenomena of corresponding ordinary differential equation. calculation becomes very simple as far solution is described a special function. Otherwise, requires more tactics, where Exact WKB (EWKB) may powerful tool. Using EWKB, we discuss focusing on effect general interaction and classica...

We present multicomponent solar wind models self-consistently incorporating the contribution from dissipationless, monochromatic, hydromagnetic (with angular frequencies ω well below ion gyrofrequencies), toroidal Alfvén waves, which are coupled to the flow through the wave-induced ponderomotive forces. Protons and alpha particles are treated on an equal footing, and the wavelength is not assum...