Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Samsonov, Boris"'
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 243001 (75pp)
The present status of the coupled-channel inverse-scattering method with supersymmetric transformations is reviewed. We first revisit in a pedagogical way the single-channel case, where the supersymmetric approach is shown to provide a complete solut
Externí odkaz:
http://arxiv.org/abs/1401.0439
Autor:
Samsonov, Boris F.
Being chosen as a differential operator of a special form, metric $\eta$ operator becomes unitary equivalent to a one-dimensional Hermitian Hamiltonian with a natural supersymmetric structure. We show that fixing the superpartner of this Hamiltonian
Externí odkaz:
http://arxiv.org/abs/1207.2522
Hermitian Hamiltonian equivalent to a given non-Hermitian one. Manifestation of spectral singularity
Autor:
Samsonov, Boris F.
One of the simplest non-Hermitian Hamiltonians first proposed by Schwartz (1960 {\it Commun. Pure Appl. Math.} \tb{13} 609) which may possess a spectral singularity is analyzed from the point of view of non-Hermitian generalization of quantum mechani
Externí odkaz:
http://arxiv.org/abs/1207.2525
Publikováno v:
J. Phys. A: Math. Theor. 44 (2011) 205305 (15pp)
Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a chain of conventional transformations and presented determinant formula
Externí odkaz:
http://arxiv.org/abs/1102.5255
Publikováno v:
Phys.Rev.Lett.106:152301,2011
A second-order supersymmetric transformation is presented, for the two-channel Schr\"odinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, without modifying the eigenphase shifts, and modifies the potential matr
Externí odkaz:
http://arxiv.org/abs/1101.3691
Autor:
Samsonov, Boris F.
Publikováno v:
J.Phys.A44:392001,2011
Using techniques of supersymmetric quantum mechanics, scattering properties of Hermitian Hamiltonians, which are related to non-Hermitian ones by similarity transformations, are studied. We have found that the scattering matrix of the Hermitian Hamil
Externí odkaz:
http://arxiv.org/abs/1007.4421
Autor:
Samsonov, Boris F.
Publikováno v:
J.Phys.A43:402006,2010
Supersymmetric (SUSY) transformation operators corresponding to complex factorization constants are analyzed as operators acting in the Hilbert space of functions square integrable on the positive semiaxis. Obtained results are applied to Hamiltonian
Externí odkaz:
http://arxiv.org/abs/1006.0282
Publikováno v:
J.Phys.A43:155201,2010
We propose a new kind of supersymmetric (SUSY) transformation in the case of the two-channel scattering problem with equal thresholds, for partial waves of the same parity. This two-fold transformation is based on two imaginary factorization energies
Externí odkaz:
http://arxiv.org/abs/1001.3312
Publikováno v:
Phys.Lett.A374:1962-1965,2010
Diagonalizable pseudo-Hermitian Hamiltonians with real and discrete spectra, which are superpartners of Hermitian Hamiltonians, must be $\eta$-pseudo-Hermitian with Hermitian, positive-definite and non-singular $\eta$ operators. We show that despite
Externí odkaz:
http://arxiv.org/abs/0909.3664
Autor:
Samsonov, Boris F
Publikováno v:
PHYSICAL REVIEW A 80, 052305 (2009) (11pp)
The necessary and sufficient conditions for minimization of the generalized rate error for discriminating among $N$ pure qubit states are reformulated in terms of Bloch vectors representing the states. For the direct optimization problem an algorithm
Externí odkaz:
http://arxiv.org/abs/0906.0637