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量子力学混合态表象 被引量:1

Quantum mechanics mixed state representation
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摘要 在以往的文献中量子力学的表象都是纯态表象,在本文中我们从算符的合理排序和概率统计的正态分布思想出发,首次提出了量子力学混合态表象的概念,并证明了其完备性和正交性.量子力学混合态表象的优点是可以反映算符的多种表示以及其相应的排序规则. In the previous studies and literatures, quantum mechanics representations are a pure state representation, while in this paper beginning with reasonable ordering of operators in quantum mechanics and the normal distribution thought in probability statistics, we propose the concept of quantum mechanics mixed state representation firstly,and prove its completeness and orthogonality. The advantages of mixed state representation is that it can reflect a variety of expression of quantum mechanics operators and the corresponding operators ordering rules.
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2014年第19期26-31,共6页 Acta Physica Sinica
基金 国家自然科学基金(批准号:11175113 11275123)资助的课题~~
关键词 量子力学混合态表象 量子力学纯态表象 排序规则 IWOP技术 quantum mechanics mixed state representation quantum mechanics pure state representation ordering rules IWOP technique
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参考文献7

  • 1Dirac P A M 1930 The Principles of Quantum Mechan- ics (Oxford: Clarendon Press).
  • 2Klauder J R and Skagerstam B S 1985 coherent States: Application in Physics and Mathematical Physics (Sin- gapore: World Scientific).
  • 3Fan H Y .2003, J. Opt. B: Quantum Semiclass. Opt. 5 R147.
  • 4Fan H Y, Lu H L, Fan Y .2006, Ann. Phys. 321 480.
  • 5Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831.
  • 6范洪义,袁洪春.2012,从压缩态到相干态.合肥:中国科学技术大学出版社.
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