Nonadiabatic Transitions in Level Crossing with Energy Fluctuation.I.Analytical Investigations

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概要

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• A simple stochastic model is proposed describing the nonadiabatic transitionsin level crossing with energy fluctuation. The model is an extension of Zener'smodel having a diagonal energy term fluctuating as a Markoffian Gaussian process.The transition rate P., defined in terms of the diabatic basis is calculated exactlyby the formal perturbation expansion with respect to the off-diagonal couplingin the two limiting cases : In the slow fluctuation limit, P., coincides with theLandau-Zener formula, 7',=P..::::1 -exp( -2xJ'/1?v?), where J is the off-diagonal coupling constant and v is the velocity of the change of the mean energydifference. In the strong damping limit, which is a limiting case of large fluctua-tion amrlitude in the rarid fluctuation limit, P., iS niven b>' the formula, P., =P..':: {1 -exp ( -4xJ'/1?v?)'j/2.

• 社団法人日本物理学会の論文
• 1984-01-15

著者

• Kayanuma Yosuke

  Department of Physics, Faculty of Science, Tohoku University

• Kayanuma Yosuke

  Department Of Physics Faculty Of Science Tohoku University

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