Calculating the mognons Energy in ferromagnetic materill with spin S=1/2 in complex coordinate system
Abstract
This research aimes to studasome nonlinear phynomenons wich, noticed in magnetic systems (ferromagnetic material) that produced from primer dicturbance of moments, that erranged in parallel and in the same direction, because they affected by externol factor (magnetic field , which has constant intensity and variable direction or variable intensity and constant direction or thermol effect ) that seemed in waves form propecate in crystal and called spin waves (magnons). To determine the propecation energy of those, that relates with the propaple positions of magnetic moments, it was no other way unless finding of suitable wave function , that notice positions in selected coordinate,and thise to find the hameltonian and Lagrangian and then the dynamic equation to got that scuttering laws and the energy states ofter then we show the range of the effect of nonhemogenous (anisotropy) single axe on the propaction energy of those waves , and that was according to nonhemogeneous unic ion Heisenberg model ,and this showed that this method anable us to got suhroendenger equation ,that discripes the motion of the elementary particles and this unoples us to got the eigen values of energy.
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