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// Scilab code: Ex4.4 : Zero point energy of a system : Pg: 126 (2008)
h = 6.626e-034; // Planck's constant, Js
x = 1e-02; // Displacement of the spring about its mean position, m
F = 1e-02; // Force applied to the spring-mass system, N
m = 1e-03; // Mass of attached to the spring, kg
// As F = k*x, k = 4*%pi^2*f^2*m is the stiffness constant, solving for f,
f = sqrt(F/(4*%pi^2*m*x)); // Frequency of oscillations of mass-spring system, Hz
U = 1/2*h*f; // Zero point energy of the mass-spring system, J
printf("\nThe zero point energy of the mass-spring system = %4.2e J", U);
// Result
// The zero point energy of the mass-spring system = 1.67e-033 J
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