Existence Of Zero Point Energy
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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particle is free to move in a field whose potential energy may be supposed to be zero, then the boundary conditions are no longer applicable and so the constants, A, B and k can have any value.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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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particle is free to move in a field whose potential energy may be supposed to be zero, then the boundary conditions are no longer applicable and so the constants, A, B and k can have any value.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.
For more help in Existence of Zero point energy click the button below to submit your homework assignment