The ground state of a quantum mechanical system is its lowest-energy state; the energy of the ground state is known as the zero-point energy of the system. An excited state is any state with energy greater than the ground state. The ground state of a quantum field theory is usually called the vacuum state or the vacuum.
If more than one ground state exists, they are said to be degenerate. Many systems have degenerate ground states. It turns out that degeneracy occurs whenever a nontrivial unitary operator commutes with the Hamiltonian of the system.
According to the third law of thermodynamics, a system at absolute zero temperature exists in its ground state; thus, its entropy is determined by the degeneracy of the ground state. Many systems, such as a perfect crystal lattice, have a unique ground state and therefore have zero entropy at absolute zero. It is also possible for the highest excited state to have absolute zero temperature for systems that exhibit negative temperature.
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Famous quotes containing the words ground and/or state:
“The sight of one of these frontier houses, built of these great logs, whose inhabitants have unflinchingly maintained their ground many summers and winters in the wilderness, reminds me of famous forts, like Ticonderoga or Crown Point, which have sustained memorable sieges.”
—Henry David Thoreau (1817–1862)
“Across Parker Avenue from the fort is the Site of the Old Gallows, where 83 men “stood on nothin’, a-lookin’ up a rope.” The platform had a trap wide enought to “accommodate” 12 men, but half that number was the highest ever reached. On two occasions six miscreants were executed. There were several groups of five, some quartets and trios.”
—Administration in the State of Arka, U.S. public relief program. Arkansas: A Guide to the State (The WPA Guide to Arkansas)