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

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arxiv 1706.04555 v2 pith:5N5NW5IV submitted 2017-06-14 math-ph math.MP

classification math-phmath.MP
keywords arbitrarygrouppotentialsrevisedactaadmissiblealgebrasboyer
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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.

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  1. Schr\"odinger Symmetry in Spherically-symmetric Static Mini-superspaces with Matter Fields

    gr-qc 2025-12 conditional novelty 7.0 of 10

    Spherically symmetric static gravity with Maxwell or massless-scalar matter exhibits Schrödinger symmetry after a canonical transformation, yielding (A)dS-Reissner-Nordström and generalized Janis-Newman-Winicour solutions.

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