Find the equilibrium positions of the following 1-dimensional potential energy function. Examine the stability of these positions. Find the classical turning points for E = -W/8. U(x) = ( -Wd2 (x2 + d2) ) / ( x4 + 8d4 ) Here W and d are positive constants.
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Find the equilibrium positions of the following 1-dimensional potential energy function. Examine the stability of these positions. Find the classical turning points for E = -W/8.
U(x) = ( -Wd2 (x2 + d2) ) / ( x4 + 8d4 )
Here W and d are positive constants.
Help: Use the Z(y) = U(y) / W function after defining the y = x/d auxiliary variable.
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