Speciality: 01.04.02 (Theoretical physics)
E-mail:
Keywords: Supersymmetry, hidden symmetry, isospectral transformation, non-Hermitian matrix Hamiltonian, spectral design, asymptotic expansion, sound field, moving source

Subject:

Supersymmetric quantum mechanics, isospectral transformations, non-Hermitian operators, asymptotic methods, sound field of a moving source

Main publications:

1. A.A. Andrianov, A.V. Sokolov, “Nonlinear supersymmetry in Quantum Mechanics: algebraic properties and differential representation”, Nuclear Physics B, 660:1-2 (2003), 25–50
2. A.V. Sokolov, A.A. Andrianov, F. Cannata, “Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states”, Journal of Physics A: Mathematical and General, 39:32 (2006), 10207–10227
3. A.A. Andrianov, F. Cannata, A.V. Sokolov, “Non-linear supersymmetry for non- Hermitian, non-diagonalizable Hamiltonians: I. General properties”, Nuclear Physics B, 773:3 (2007), 107–136
4. A.A. Andrianov, F. Cannata, A.V. Sokolov, “Spectral singularities for non-Hermitian one-dimensional Hamiltonians: Puzzles with resolution of identity”, Journal of Mathematical Physics, 51:5 (2010), 052104_1-22
5. A.A. Andrianov, A.V. Sokolov, “Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: General classification of reducibility and analysis of the third-order algebra”, Journal of Mathematical Sciences, 143:1 (2007), 2707–2722

Recent publications

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Organisations:

• Saint Petersburg State University
• V. A. Fock Institute of Physics, Saint-Petersburg State University