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从Fock空间量子变换看光场辛结构和费米体系最大对称结构
Study of the Symplectic Structure of Light Fields and Maximum Symmetric Structure of Fermion’s Systems from the Fock Space Quantum Transformation
【摘要】 木文论证了玻色系统Fock空间量子变换的最大对称群是复辛群Sp(2n,C)。并由此出发,揭示了光场辛结构的量子本质其实是光的玻色性。同时也指出了费米体系不具有此种性质,并得到了费米体系Fock空间量子变换的最大对称群。
【Abstract】 In this paper, we prove that the maximum symmetric group of Fock spacequantum transformation in Boson’s system is a complex symplectic group S.(2n, C), and reveal that the quantum essence of symplectic structure in light fieldsis of Bose’s character of photons.We also point out that Fermions systems dontbave this character, and obtain the maximum symmetric group of Fermionsquantum transformation
【关键词】 量子变换;
复辛群Sp(2n,C);
GL(2n,C)L群;
【Key words】 quantum transformation; complex symplectic group S_?(2n, C); GL (2n, C)_L group;
【Key words】 quantum transformation; complex symplectic group S_?(2n, C); GL (2n, C)_L group;
【基金】 国家自然科学基金
- 【文献出处】 量子电子学 ,Chinese Journal of Quantum Electronics , 编辑部邮箱 ,1993年01期
- 【被引频次】6
- 【下载频次】48