| Normal coordinate in harmonic crystal obtained by virtue of the classical correspondence of the invariant eigen-operator |
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| 作者姓名： | 孟祥国 范洪义 王继锁 |
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| 作者单位： | Department of Physics, Liaocheng University, Liaocheng 252059, China;Department of Physics, Liaocheng University, Liaocheng 252059, China;Department of Physics, Liaocheng University, Liaocheng 252059, China;Department of Physics, Qufu Normal University, Qufu 273165, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23) and the Shandong Province Higher Educational Science and Technology Program (Grant No. J09LA07). |
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| 摘 要： | Noticing that the equation ((d～2O_n)/(d_t～2)={H_c,{H_c,O_n }}=λO_n with double-Poisson bracket,where O_n is normal coordinate,H_c is classical Hamiltonian,is the classical correspondence of the invariant eigen-operator equation (2004 Phys.Lett.A.321 75),we can find normal coordinates in harmonic crystal by virtue of the invariant eigen-operator method.
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| 关 键 词： | quantum impeller vibration spectrum invariant eigen-operator method |
Normal coordinate in harmonic crystal obtained by virtue of the classical correspondence of the invariant eigen-operator |
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| Meng Xiang-Guo,Fan Hong-Yi and Wang Ji-Suo.Normal coordinate in harmonic crystal obtained by virtue of the classical correspondence of the invariant eigen-operator[J].Chinese Physics B,2010,19(7):70303-070303. |
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| Authors: | Meng Xiang-Guo Fan Hong-Yi and Wang Ji-Suo |
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| Institution: | Department of Physics, Liaocheng University, Liaocheng 252059, China; Department of Physics, Liaocheng University, Liaocheng 252059, China;Department of Physics, Qufu Normal University, Qufu 273165, China |
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| Abstract: | Noticing that the equation frac d2Ondt2={Hc,{Hc,On}} =λOn with double-Poisson bracket, where On is normal coordinate, Hc is classical Hamiltonian, is the classical correspondence of the invariant eigen-operator equation (2004 Phys. Lett. A. 321 75), we can find normal coordinates in harmonic crystal by virtue of the invariant eigen-operator method. |
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| Keywords: | quantum impeller vibration spectrum invariant eigen-operator method |
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