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- Alexandr Andrianov, Francesco Cannata, J.-P. Dedonder, M. Ioffe
- 1994

Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher… (More)

- Alexandr Andrianov, M. Ioffe, D. N. Nishnianidze
- 1994

2 We give the classification of second-order polynomial SUSY Quantum Mechanics in one and two dimensions. The particular attention is paid to the irreducible supercharges which cannot be built by… (More)

We propose higher-derivative generalization of the supersymmetric quantum mechanics. It is formally based on the standard superalgebra but supercharges involve differential operators of the order n.… (More)

We consider QM with non-Hermitian quasi-diagonalizable Hamiltonians, i.e. the Hamiltonians having a number of Jordan cells in particular biorthogonal bases. The ”self-orthogonality” phenomenon is… (More)

We study the Nonlinear (Polynomial, N -fold,...) Supersymmetry algebra in one-dimensional QM. Its structure is determined by the type of conjugation operation (Hermitian conjugation or transposition)… (More)

- Alexandr Andrianov, Francesco Cannata, M. Ioffe, D. Nishnianidze
- 1999

We study a complex intertwining relation of second order for Schrödinger operators and construct third order symmetry operators for them. A modification of this approach leads to a higher order shape… (More)

- Alexandr Andrianov, Francesco Cannata, A. Y. Kamenshchik
- 2006

Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary… (More)

Nonlinear (Polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. The full classification of ladder-reducible and irreducible chains of… (More)

- D. B. Shwartz, Vladimir Anashin, +30 authors Yu. Zharinov
- 2016

D. Shwartz, V. Anashin, A. Andrianov, K. Astrelina, A. Batrakov, O. Belikov, D. Berkaev, M. Blinov, F. Emanov, A. Frolov, K. Gorchakov, A. Kasaev, A. Kenzhbulatov, A. Kirpotin, I. Koop, A. Krasnov,… (More)

We study possible factorizations of supersymmetric (SUSY) transformations in the one-dimensional quantum mechanics into chains of elementary Darboux transformations with nonsingular coefficients. A… (More)