English

The maximal 'kinematical' invariance group for an arbitrary potential revised

Mathematical Physics 2019-03-06 v2 math.MP

Abstract

Group classification of one particle Schr\"odinger equations with arbitrary potentials (C. P. Boyer, Helv. Phys. Acta {\bf 47}, p. 450, 1974) is revised. The corrected completed list of non-equivalent potentials and the corresponding symmetries is presented together with exact identification of symmetry algebras and admissible equivalence transformations.

Keywords

Cite

@article{arxiv.1706.04555,
  title  = {The maximal 'kinematical' invariance group for an arbitrary potential revised},
  author = {A. G. Nikitin},
  journal= {arXiv preprint arXiv:1706.04555},
  year   = {2019}
}

Comments

Misprints are corrected

R2 v1 2026-06-22T20:18:52.770Z