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  • Einstein Transition Probability (en)
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  • Given two atomic states of energy \(E_j\) and \(E_k\). Let \(E_j > E_k\). Assume the atom is bathed in radiation of energy density \(u(w)\). Transitions between these states can take place in three different ways. Spontaneous, induced/stimulated emission, and induced absorption. \(A_jk\) represents the Einstein transition probability for spontaneous emission. (http://qudt.org/schema/qudt/LatexString)
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  • \(\frac{-dN_j}{dt} = A_jkN_j\), where \(-dN_j\) is the number of molecules spontaneously leaving the state j for the state k during a time interval of duration \(dt\), \(N_j\) is the number of molecules in the state j, and \(E_j > E_k\). (http://qudt.org/schema/qudt/LatexString)
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  • A_jkN_j
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