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A simple approach to the Landau–Zener formula

✍ Scribed by Vutha, Amar C


Book ID
120983782
Publisher
Institute of Physics
Year
2010
Tongue
English
Weight
228 KB
Volume
31
Category
Article
ISSN
0143-0807

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The Landau-Zener level-crossing problem is analysed perturbatively. We consider the operator \(H(t)=\Phi(t) \sigma^{3}+\Delta \sigma^{1}\), where \(\Phi(t)\) is an external (time-dependent) force, \(\sigma^{i}\) are the Pauli matrices, and \(\Delta\) is taken to be a small parameter. By considering