Alternative Description of Rigid Body Kinematics and Quantum Mechanical Angular Momenta
作者: Clementina D. MladenovaDanail S. BrezovIvaïlo M. Mladenov
论文集英文名称: Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization
来源数据库: Project Euclid
DOI: 10.7546/giq-19-2018-148-158
原始语种摘要: In the present paper we investigate an alternative two-axes decomposition method for rotations that has been proposed in our earlier research. It is shown to provide a convenient parametrization for many important physical systems. As an example, the kinematics of a rotating rigid body is considered and a specific class of solutions to the Euler dynamical equations are obtained in the case of symmetric inertial ellipsoid. They turn out to be related to the Rabi oscillator in spin systems well known in quantum computation. The corresponding quantum mechanical angular momentum and Laplace operator are derived as well with the aid of infinitesimal variations. Curiously, the coefficients in this new representation happen to depend only on one of the angles, which simplifies the corresponding...
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关键词翻译
关键词翻译
  • corresponding 对应的
  • representation 表现
  • oscillator 振荡器
  • paper 
  • quantum 量子
  • operator 话务员
  • present 出席的
  • kinematics 运动学
  • construction 构造
  • symmetric 对称的