Existence Of Zero Point Energy Assignment Help | Existence Of Zero Point Energy Homework Help

Existence of Zero point energy

Minimum value of n=1 (n=0 is ruled out, as discussed earlier). Substituting this value in equation, we get

This implies that the minimum energy possessed by the particle is not zero but has a definite value. This is called zero point energy.

Non-quantization of energy for a free particle.
If the walls of the box are removed, so that the particle is free to move in a field whose potential energy may be supposed to be zero, then the boundary conditions are no longer applicable and so the constants, A, B and k can have any value. The energy of the particle is then given by, viz.,
As the constant k can have any value, the energy of the free particle is not quantized.   

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