1 citations · 2 across the 5 of their papers we have counts for
5 papers
Weak supersymmetry and superconformal indices
Vyacheslav P. Spiridonov
One-dimensional quantum mechanical models obeying Smilga's weak supersymmetry are described in the matrix form. They are related to the parasupersymmetric and higher-order derivati…
Variations of supersymmetric quantum mechanics and superconformal indices
Vyacheslav P. Spiridonov
Old studies on supersymmetric quantum mechanics and its deformations, that were initiated by the 1988 joint paper with V. Rubakov, are retrospectively discussed. In the modern circ…
An extended scheme of classical special functions
Vyacheslav P. Spiridonov
A unifying scheme of classical special functions of hypergeometric type obeying orthogonality or biorthogonality relations is described. It expands the Askey scheme of classical or…
Superpositions of coherent states determined by Gauss sums
Vyacheslav P. Spiridonov
We describe a family of quantum states of the Schrödinger cat type as superpositions of the harmonic oscillator coherent states with coefficients defined by the quadratic Gauss sum…
Self-similarity in Spectral Problems and q-special Functions
I. Loutsenko, V. Spiridonov
Similarity symmetries of the factorization chains for one-dimensional differential and finite-difference Schrödinger equations are discussed. Properties of the potentials defined b…