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

Abstract

Group classification of one particle Schrödinger 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.

Misprints are corrected

References in corpus (3)

• Superintegrable systems with position dependent mass
• Group classification of (1+3)-dimensional Schrödinger equations with position dependent mass
• Group classification of Schrödinger equations with position dependent mass

Cited by in corpus (4)

• Symmetries of Schroedinger equation with scalar and vector potentials
• Symmetries of the Schroedinger-Pauli equations for charged particles and quasirelativistic Schroedinger equations
• Symmetries of the Schroedinger-Pauli equation for neutral particles
• Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 2. Systems with dilatation and shift symmetries