A quadrupole oscillator as an integrable model

IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physics Letters A Pub Date : 2024-11-05 DOI:10.1016/j.physleta.2024.130032
T. Iwai
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引用次数: 0

Abstract

A quadrupole oscillator is presented as an integrable model in the Born-Oppenheimer formalism with an electronic Hamiltonian being the quadrupole tensor. The electronic states of present concern are associated with a doubly degenerate positive eigenvalue of the electronic Hamiltonian, and accordingly the nuclear Hamiltonian takes a 2×2 matrix form. While the potential function for nuclear motion is proportional to r2, the kinetic energy operator is rather complicated, containing coupling terms with a Berry connection through adiabatic approximation. The energy eigenvalues, which receive a modification by a Chern number, get closer to those for the 3D isotropic harmonic oscillator if the angular momentum quantum number becomes sufficiently large.
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作为可积分模型的四极振荡器
在玻恩-奥本海默形式主义中,四极振荡器是一个可积分模型,其电子哈密顿是四极张量。目前关注的电子态与电子哈密顿的双变性正特征值有关,因此核哈密顿采用 2×2 矩阵形式。核运动的势函数与 r2 成正比,而动能算子则相当复杂,通过绝热近似,包含了与贝里联系的耦合项。如果角动量量子数变得足够大,能量特征值就会变得更接近三维各向同性谐振子的能量特征值。
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来源期刊
Physics Letters A
Physics Letters A 物理-物理:综合
CiteScore
5.10
自引率
3.80%
发文量
493
审稿时长
30 days
期刊介绍: Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.
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