The wave function of a particle in an infinite potential box is given by
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E = n2h2 8mL2 ,n = 1,2,3,··· and the wave function has the form ψn = B sin (nπx L ) . 8mL2 , which is different from zero. This is called the zero point energy. It implies that even when the system is in the ground state it is undergoing ceaseless motion.
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