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16-September-2008 16:20:32 - Stationary state Redirected from Ground state This article or section contains too much jargon and may need simplification or further explanation. Please discuss this issue on the talk page, and/or remove or explain jargon terms used in the article. ing help is available. October 2007 Ground state redirects here. For the Angel episode, see Ground State Angel episode. In quantum mechanics, a stationary state is an eigenstate of a Hamiltonian, or in other words, a state of definite energy. It is called stationary because the corresponding probability density has no time dependence. As an eigenstate of the Hamiltonian, a stationary state is not subject to change or decay to a lower energy state. In practice, stationary states are never truly stationary for all time. Rather, they refer to the eigenstate of a Hamiltonian where small perturbative effects have been ignored. The language allows one to discuss the eigenstates of the unperturbed Hamiltonian, whereas the perturbation will eventually cause the stationary state to decay. The only true stationary state is the ground state. Ground state The ground state of a quantum mechanical system is its lowest-energy state. 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, for example, the hydrogen atom. 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 because ln1 = 0. See also Quantum number Quantum mechanic vacuum or vacuum state Virtual particle Excited state Retrieved from http://en..org/wiki/Stationary_state Categories: Quantum mechanicsHidden categories: Cleanup from October 2007 | articles needing style ing from October 2007 | All articles needing style ing Views Article Discussion this page History Personal tools Log in / create account Navigation Main page Contents Featured content Current events Random article Search Go Search Interaction Community portal Recent changes Contact Donate to Help Toolbox What links here Related changes Upload file Special pages Printable version Permanent link Cite this page Languages العربية Brezhoneg Deutsch Español Français Italiano Nederlands 日本語 Polski Português Svenska УкраїнÑ?ька ä¸æ–‡ This page was last modified on 26 June 2008, at 02:28
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