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| New 3-mode bosonic operator realization of SU（2） Lie algebra： From the point of view of squeezing | |
| 引用本文： | 笪诚,陈千帆,范洪义. New 3-mode bosonic operator realization of SU（2） Lie algebra： From the point of view of squeezing[J]. 中国物理 B, 2014, 0(9): 62-64 |
| 作者姓名： | 笪诚 陈千帆 范洪义 |
| 作者单位： | Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
| 基金项目： | supported by the National Natural Science Foundation of China(Grant Nos.11175113 and 11275123);the Key Project of Natural Science Fund of Anhui Province,China(Grant No.KJ2013A261) |
| 摘 要： | We consider the quantum mechanical SU(2) transformation e2λ JzJ± e-2λJz= e±2λJ± as if the meaning of squeezing with e±2λbeing squeezing parameter. By studying SU(2) operators(J±,Jz) from the point of view of squeezing we find that(J±,Jz) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation(the eigenvectors of J+ or J-) of the 3-mode squeezing operator e2λ Jz. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators. |
| 关 键 词： | quantum mechanical SU(2) transformation 3-mode squeezing operator new 3-mode bosonic op-erator realization of SU(2) Lie algebra |
New 3-mode bosonic operator realization of SU(2) Lie algebra:From the point of view of squeezing |
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| Da Cheng,Chen Qian-Fan,Fan Hong-Yi. New 3-mode bosonic operator realization of SU(2) Lie algebra:From the point of view of squeezing[J]. Chinese Physics B, 2014, 0(9): 62-64 | |
| Authors: | Da Cheng Chen Qian-Fan Fan Hong-Yi |
| Abstract: | quantum mechanical SU（2） transformation, 3-mode squeezing operator, new 3-mode bosonic op-erator realization of SU（2） Lie algebra |
| Keywords: | quantum mechanical SU() transformation -mode squeezing operator new -mode bosonic op-erator realization of SU() Lie algebra |
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