Zobrazeno 1 - 10
of 56
pro vyhledávání: '"A. A. Suzko"'
Publikováno v:
J. Phys. A: Math. Gen. 36 (2003) 12293-12304
The intertwining operator technique is applied to difference Schroedinger equations with operator-valued coefficients. It is shown that these equations appear naturally when a discrete basis is used for solving a multichannel Schroedinger equation. N
Externí odkaz:
http://arxiv.org/abs/quant-ph/0309039
Autor:
Samsonov, Boris F., Suzko, A. A.
Publikováno v:
Phys. Lett. A 302 (2002) 234-241
Using an isomorphism between Hilbert spaces $L^2$ and $\ell^{2}$ we consider Hamiltonians which have tridiagonal matrix representations (Jacobi matrices) in a discrete basis and an eigenvalue problem is reduced to solving a three term difference equa
Externí odkaz:
http://arxiv.org/abs/quant-ph/0301109
Autor:
A. A. Suzko, E. Velicheva
Publikováno v:
Physics of Particles and Nuclei. 43:348-366
Using the intertwining operator technique we construct Darboux transformations for the wave equation with position-dependent effective mass and with linearly energy-dependent potentials. The formally adjoint generators of supersymmetry and two formal
Autor:
E. P. Velicheva, A. A. Suzko
Publikováno v:
Physics of Particles and Nuclei Letters. 8:458-462
The Darboux transformation operator technique is applied to the generalized Schrodinger equation with a position-dependent effective mass and with linearly energy-dependent potentials. It is shown how to construct the quantum well potentials in nanoe
Autor:
E. P. Velicheva, A. A. Suzko
Publikováno v:
Physics of Atomic Nuclei. 74:1077-1082
The Darboux transformation operator technique is applied to the generalized Schrodinger equation with a position-dependent effective mass and with linearly energy-dependent potentials. Intertwining operators are obtained in an explicit form and used
Publikováno v:
Physics of Particles and Nuclei Letters. 6:538-541
The intertwining operator technique is applied to the generalized Schrodinger equation with a position-dependent effective mass. It is shown on concrete examples how to construct the quantum well potential with a desired spectrum for the Schrodinger
Publikováno v:
Physics of Atomic Nuclei. 72:858-865
We construct Darboux transformations for a generalized Schrodinger equation by means of the intertwining operator method. We establish a relation between first-order Darboux transformations, supersymmetry, and factorization of the Hamiltonians that a
Autor:
Axel Schulze-Halberg, A. A. Suzko
Publikováno v:
Physics Letters A. 372:5865-5871
By application of the intertwining operator method to Schrodinger equations with position-dependent (effective) mass, we construct Darboux transformations, establish the supersymmetry factorization technique and show equivalence of both formalisms. O
Autor:
G. Giorgadze, A. A. Suzko
Publikováno v:
Journal of Mathematical Sciences. 153:186-196
A time-dependent periodic Hamiltonian admitting exact solutions is applied to construct a set of universal gates for quantum computation. The approach is based on transformation of soluble time-independent equations into time-dependent ones by employ
Autor:
A. A. Suzko, G. Giorgadze
Publikováno v:
Physics of Particles and Nuclei. 39:578-596
Methods for obtaining exact and approximate solutions of the evolution of quantum-mechanical problems are discussed. The cyclic evolution of quantum systems described by time-periodic Hamiltonians is analyzed. A class of time-periodic Hamiltonians is