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Andrey Sokolov
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Nonlinear Supersymmetry in Quantum Mechanics
AA Andrianov, AV Sokolov
Proceedings of Institute of Mathematics of NAS of Ukraine 50 (Part 2), 539-546, 2004
113*2004
Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential representation
AA Andrianov, AV Sokolov
Nuclear Physics B 660 (1-2), 25-50, 2003
1132003
Non-Hermitian quantum mechanics of non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
AV Sokolov, AA Andrianov, F Cannata
Journal of Physics A: Mathematical and General 39 (32), 10207, 2006
542006
Non-linear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties
AA Andrianov, F Cannata, AV Sokolov
Nuclear Physics B 773 (3), 107-136, 2007
472007
Spectral singularities for non-Hermitian one-dimensional Hamiltonians: puzzles with resolution of identity
AA Andrianov, F Cannata, AV Sokolov
Journal of mathematical physics 51 (5), 052104, 2010
302010
Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. I: General classification of reducibility and analysis of the third-order algebra
AA Andrianov, AV Sokolov
Journal of Mathematical Sciences 143 (1), 2707-2722, 2007
222007
Non-linear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results
AV Sokolov
Nuclear Physics B 773 (3), 137-171, 2007
192007
Resolutions of identity for some non-Hermitian Hamiltonians. I. Exceptional point in continuous spectrum
AA Andrianov, AV Sokolov
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7, 111, 2011
152011
Hidden symmetry from supersymmetry in one-dimensional quantum mechanics
AA Andrianov, AV Sokolov
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5, 064, 2009
142009
Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. II: Proofs of theorems on reducibility
AV Sokolov
Journal of Mathematical Sciences 151 (2), 2924-2936, 2008
122008
Polynomial Supersymmetry for Matrix Hamiltonians
AV Sokolov
Physics Letters A 377 (9), 655-662, 2013
102013
Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics. III: precise classification of irreducible intertwining operators
AV Sokolov
Journal of Mathematical Sciences 168 (6), 881-900, 2010
92010
Minimal realizations of supersymmetry for matrix Hamiltonians
AA Andrianov, AV Sokolov
Physics Letters A 379 (4), 279-283, 2015
82015
Spectral design for matrix Hamiltonians: different methods of constructing of a matrix intertwining operator
AV Sokolov
Journal of Physics A: Mathematical and Theoretical 48 (8), 085202_1-39, 2015
82015
Resolutions of identity for some non-Hermitian Hamiltonians. II. Proofs
AV Sokolov
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7, 112, 2011
72011
Факторизация нелинейной суперсимметрии в одномерной квантовой механике I: общая классификация приводимости и анализ алгебры третьего порядка
АА Андрианов, АВ Соколов
Записки научных семинаров ПОМИ 335 (0), 22-49, 2006
6*2006
Расширенная суперсимметрия и скрытые симметрии в одномерной матричной квантовой механике
АА Андрианов, АВ Соколов
Теоретическая и математическая физика 186 (1), 5-26, 2016
5*2016
Extended supersymmetry and hidden symmetries in one-dimensional matrix quantum mechanics
AA Andrianov, AV Sokolov
Theoretical and Mathematical Physics 186 (1), 2 - 20, 2016
42016
Linear and non-linear supersymmetry for non-Hermitian matrix Hamiltonians
A Sokolov
Доклады на международной научной конференции PHHQP XI, 1-23, 2012
22012
Факторизация нелинейной суперсимметрии в одномерной квантовой механике II: доказательства теорем о приводимости
АВ Соколов
Записки научных семинаров ПОМИ 347 (0), 214-237, 2007
22007
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