A realization and truncation of Yangian algebra in the generalized hydrogen atom with a U(1) monopole

Li Jun Tian; Shuo Jin; Hong Biao Zhang; Kang Xue

doi:10.1088/0256-307X/21/5/001

A realization and truncation of Yangian algebra in the generalized hydrogen atom with a U(1) monopole

Li Jun Tian^*
, Shuo Jin
, Hong Biao Zhang
, Kang Xue

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We establish an extended hydrogen atom associated with a U(1) monopole in which a realization of Yangian Y-(sl(2)) is proposed and the energy spectrum is also given. By solving the RTT relation R(u - v)[T(u) ⊗ T(v)] = [T(v) ⊗ T(u)] R(u - v) for the truncation T⁽³⁾ = 0, the obtained model is shown to be related to the truncated Yangian.

源语言	英语
页（从-至）	767-769
页数	3
期刊	Chinese Physics Letters
卷	21
期	5
DOI	https://doi.org/10.1088/0256-307X/21/5/001
出版状态	已出版 - 5月 2004
已对外发布	是

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abstract = "We establish an extended hydrogen atom associated with a U(1) monopole in which a realization of Yangian Y-(sl(2)) is proposed and the energy spectrum is also given. By solving the RTT relation R(u - v)[T(u) ⊗ T(v)] = [T(v) ⊗ T(u)] R(u - v) for the truncation T(3) = 0, the obtained model is shown to be related to the truncated Yangian.",

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AU - Jin, Shuo

AU - Zhang, Hong Biao

AU - Xue, Kang

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N2 - We establish an extended hydrogen atom associated with a U(1) monopole in which a realization of Yangian Y-(sl(2)) is proposed and the energy spectrum is also given. By solving the RTT relation R(u - v)[T(u) ⊗ T(v)] = [T(v) ⊗ T(u)] R(u - v) for the truncation T(3) = 0, the obtained model is shown to be related to the truncated Yangian.

AB - We establish an extended hydrogen atom associated with a U(1) monopole in which a realization of Yangian Y-(sl(2)) is proposed and the energy spectrum is also given. By solving the RTT relation R(u - v)[T(u) ⊗ T(v)] = [T(v) ⊗ T(u)] R(u - v) for the truncation T(3) = 0, the obtained model is shown to be related to the truncated Yangian.

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U2 - 10.1088/0256-307X/21/5/001

DO - 10.1088/0256-307X/21/5/001

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JO - Chinese Physics Letters

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A realization and truncation of Yangian algebra in the generalized hydrogen atom with a U(1) monopole

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