The form invariance of Appell equations of holonomic mechanical systems under the infinitesimal transformations of groups is studied. The definition and the criterion of the form invariance of Appell equations are given. This form invariance can lead to a conserved quantity under certain conditions.
Project supported by the National Natural Science Foundation (Grant No.19972010) and the Doctoral Program Foundation of Institution of Higher Education of China
- Mei Feng-xiang. FORM INVARIANCE OF APPELL EQUATIONS[J]. Chin. Phys. B, 2001, 10(3): 177-180.