On the exact rotational and internal Hamiltonian for a non-relativistic closed many-body system

Frontiers in Theoretical and Applied Physics/UAE 2017

Barth, I.^1 ; Renziehausen, K.^1

Max Planck Institute of Microstructure Physics, Weinberg 2, Halle (Saale)

06120, Germany^1

关键词: Born-Oppenheimer approximation;    Center of mass;    Euler angles;    Internal motion;    Jacobi coordinates;    Many-body systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/869/1/012006/pdf
DOI  :  10.1088/1742-6596/869/1/012006

来源: IOP

【 摘 要 】

Without applying Born-Oppenheimer approximation, the non-relativistic Hamiltonian can be separated into Hamiltonians for the translation of the center of mass and for the rotational and internal motions of the closed many-body system. This exact rotational and internal Hamiltonian can be expressed in terms of three Euler angles for three independent rotations of the system and the rotated Jacobi coordinates for the internal motions.