Exact quantum solutions of general driven time‐dependent quantum quadratic system |
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| Authors: | Kaimin Fan Yujun Zheng Weiyi Ren Shiliang Ding |
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| Affiliation: | 1. School of Physics and Microelectronics, Shandong University, Jinan 250100, Shandong, People's Republic of China;2. School of Physics and Electronic Information, China West Normal University, Nanchong 637002, Sichuan, People's Republic of China;3. School of Physics and Microelectronics, Shandong University, Jinan 250100, Shandong, People's Republic of ChinaSchool of Physics and Microelectronics, Shandong University, Jinan 250100, Shandong, People's Republic of China |
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| Abstract: | We studied the general time‐dependent linear and quadratic system via dynamical symmetries. In an algebraic framework, we obtained exact solutions of the evolution operators, propagators, and wave functions of the general time‐dependent linear and quadratic system. To illustrate our calculations, we discuss a few special cases, including a particle driven by a monochromatic electric field, and cases of oscillatory, linear, or monotonic with respect to the time of the quadratic system. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007 |
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| Keywords: | time‐dependent quadratic system propagator Lie algebraic approach |
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