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This is an important result that tells us:
1. The energy of a particle is quantized and
2. The lowest possible energy of a particle is NOT zero. This is called
the zero-point energy and means the particle can never be at rest
because it always has some kinetic energy.
This is also consistent with the Heisenberg Uncertainty Principle: if
the particle had zero energy, we would know where it was in both
space and time.