Kato, T. ; Nakamura, K. ; Lakshmanan, M. (2003) Analytical calculation of nonadiabatic transition probabilities from the monodromy of differential equations Journal of Physics A: Mathematical and General, 36 (21). pp. 5803-5815. ISSN 1751-8121
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Official URL: http://iopscience.iop.org/0305-4470/36/21/309
Related URL: http://dx.doi.org/10.1088/0305-4470/36/21/309
Abstract
The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2 × 2 Hamiltonian with the tanh-type plus sech-type energy difference and with constant off-diagonal elements as an example to show the efficiency of the monodromy approach. We also discuss the application of this method to multi-level systems.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics Publishing. |
ID Code: | 19584 |
Deposited On: | 22 Nov 2010 12:21 |
Last Modified: | 17 May 2016 04:06 |
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