47 citations · 89 across the 4 of their papers we have counts for
5 papers
Constraining spacetime variations of nuclear decay rates from light curves of type Ia supernovae
Ivan Karpikov, Maxim Piskunov, Anton Sokolov +1
The luminosity of fading type Ia supernovae is governed by radioactive decays of 56Ni and 56Co. The decay rates are proportional to the Fermi coupling constant G_F and, therefore,…
Spectral singularities for Non-Hermitian one-dimensional Hamiltonians: puzzles with resolution of identity
A. A. Andrianov, F. Cannata, A. V. Sokolov
We examine the completeness of bi-orthogonal sets of eigenfunctions for non-Hermitian Hamiltonians possessing a spectral singularity. The correct resolutions of identity are constr…
Factorization of non-linear supersymmetry in one-dimensional Quantum Mechanics. II: proofs of theorems on reducibility
A. V. Sokolov
In this paper, we continue to study factorization of supersymmetric (SUSY) transformations in one-dimensional Quantum Mechanics into chains of elementary Darboux transformations wi…
Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: general classification of reducibility and analysis of the third-order algebra
A. A. Andrianov, A. V. Sokolov
We study possible factorizations of supersymmetric (SUSY) transformations in the one-dimensional quantum mechanics into chains of elementary Darboux transformations with nonsingula…
Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties
A. A. Andrianov, F. Cannata, A. V. Sokolov
We study complex potentials and related non-diagonalizable Hamiltonians with special emphasis on formal definitions of associated functions and Jordan cells. The nonlinear SUSY for…