The mixed state in quantum mechanics is the statistical ensemble
of the pure states.
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The actual goal of this particular facet of quantum mechanics is
to calculate all of allowable energy states, not just the ground
state. The ground state is significant though since it's the energy
that the system is always trying to get to.
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The simple answer is to release excess energy and thus become more stable.
The full answer requires some understanding of Quantum Mechanics, as it is a quantum process and even though an atom has excess energy to release its current state may be one that Quantum Mechanics prohibits (or encourages) certain changes from occurring.
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The pure state of a quantum system is usually denoted by the
vector ket with the unit length.
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AnswerZero-point energy (not to be confused with Vacuum Energy) is the lowest possible energy that a quantum mechanical physical system may have and is the energy of the ground state. This energy comes from the fact that after you remove all thermal and kinetic energy from an atom there is still quantum mechanical harmonic vibration that arises due to the Heisenberg Uncertainty Principle. This energy, so far, can not be taken away from a system.