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理论物理通讯：英文版

On Common Eigenvector of Parametric Interaction Hamiltonian and Number-Difference Operator Derived by Virtue of Entangled State Representation

Fan, Hong-Yi, Gao, Weibo

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

由由两部组成的纠缠的州的表示的性质的优点，我们导出参量的 Hamiltonian 和二模式的 number-differenceoperator 的普通特徵向量。这特徵向量是有与亢奋的几何功能成正比的系数的一些明确的二模式的 Fock 状态的重叠。高斯连续关系 ofhypergeometric 函数被用来证实正式解决方案。

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由由两部组成的纠缠的州的表示的性质的优点，我们导出参量的 Hamiltonian 和二模式的 number-differenceoperator 的普通特徵向量。这特徵向量是有与亢奋的几何功能成正比的系数的一些明确的二模式的 Fock 状态的重叠。高斯连续关系 ofhypergeometric 函数被用来证实正式解决方案。
By virtue of the Einstein-Podolsky-Rosen entangled state, which is the common eigenvector of two panicles' relative coordinate and total momentum, we establish the bosonic operator version of the Hamiltonian for a quantum point-mass pendulum. The Hamiltonian displays the correct Schroedlnger equation in the entangled state representation.The corresponding Heisenberg operator equations which predict the angular momentum-angle uncertainty relation are derived. The quantum operator description of two quantum pendulums coupled by a spring is also derived.
By virtue of the Einstein–Podolsky–Rosen entangled state, which is the common eigenvector of two particles' relative coordinate and total momentum, we establish the bosonic operator version of the Hamiltonian for a quantum point-mass pendulum. The Hamiltonian displays the correct Schrodinger equation in the entangled state representation. The corresponding Heisenberg operator equations which predict the angular momentum–angle uncertainty relation are derived. The quantum operator description of two quantum pendulums coupled by a spring is also derived.