# Boris F. Samsonov

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- Influence

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**public sources and our publisher partners.**We introduce an N-order Darboux transformation operator as a particular case of general transformation operators. It is shown that this operator can always be represented as a product of N… Expand

The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an… Expand

Abstract New types of irreducible second-order Darboux transformations for the one dimensional Schrodinger equation are described. The main feature of such transformations is that the transformation… Expand

The recent developments in the theory of the generation of potentials for which the Schrodinger equation has an exact solution are discussed. The generalization of the Darboux transformation to the… Expand

Abstract The supersymmetry of a one-dimensional time-dependent Schrodinger equation is established. It is intimately connected with the time-dependent Darboux transformation. With the help of this… Expand

The quantum mechanical brachistochrone system with a PT-symmetric Hamiltonian is Naimark-dilated and reinterpreted as a subsystem of a Hermitian system in a higher-dimensional Hilbert space. This… Expand

The technique of differential intertwining operators (or Darboux transformation operators) is systematically applied to the one-dimensional Dirac equation. The following aspects are investigated:… Expand

Darboux transformation is applied to three classical potentials, namely the harmonic oscillator, effective Coulomb and Morse potentials to generate exactly solvable potentials of elementary form. For… Expand

Hermitian Hamiltonian equivalent to a given non-Hermitian one: manifestation of spectral singularity

Philosophical Transactions of the Royal Society A…

One of the simplest non-Hermitian Hamiltonians, first proposed by Schwartz in 1960, that may possess a spectral singularity is analysed from the point of view of the non-Hermitian generalization of… Expand

A second-order supersymmetric transformation is presented, for the two-channel Schrödinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, without modifying the… Expand