23 citations · 105 across the 30 of their papers we have counts for
13 papers · 1 filter
Finite periodic comb
O. I. Hryhorchak, V. S. Pastukhov
A finit periodic comb was solved by the help of both classical approach based on a direct solving of a Sr\"{odinger} equation and a quantum wave impedance method. It was dem…
Application of a quantum wave impedance approach for a quantum capacitance calculation
O. I. Hryhorchak
A method for a calculation of quantum capacitance for a two-dimesional electron gas (2DEG) in potential wells of complicated geometry on the base of a quantum wave impedance techni…
An application of a quantum wave impedance method to finite periodic structures
O. I. Hryhorchak
The relations between a quantum wave impedance function and elements of transfer and scattering matrixes for quantum mechanical systems with arbitrary localized form of potential w…
Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
O. I. Hryhorchak
An analytical solution for a quantum wave impedance in a case of piesewise constant potential was derived. It is in fact an analytical depiction of a well-known iterative method of…
Effective technique of numerical investigation of systems with complicated geometry of a potential
O. I. Hryhorchak
We have developed the technique of a quantum wave impedance determination for the sequence of not only constant potentials but also for potentials of forms for which the solution o…
Numerical study of quantum mechanical systems using a quantum wave impedance approach
O. I. Hryhorchak
The approximate numerical method for a calculation of a quantum wave impedance in a case of a potential energy with a complicated spatial structure is considered. It was proved tha…
Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media
O. I. Hryhorchak
This paper is dedicated to an application of a quantum wave impedance approach for a study of infinite and semi-infinite periodic systems. Both a Dirac comb and a comb as we…
Application of a quantum wave impedance method for zero-range singular potentials
O. I. Hryhorchak
An application of a quantum wave impedance method for a study of quantum-mechanical systems which con\-tain singular zero-range potentials is considered. It was shown how to reform…
Quantum wave impedance calculation for an arbitrary piesewise constant potential
O. I. Hryhorchak
The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed. On the base of this method both the well-known iterative form…
An application of a quantum wave impedance approach for solving a nonsymmetric single well problem
O. I. Hryhorchak
A short introduction of a relation between a Green's function and a quantum wave impedance function as well as its application to a determination of eigenenergies and eigenfunction…
Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
O. I. Hryhorchak
On the base of a 1D Shrödinger equation the non-linear first-order differential equation (Ricatti type) for a quantum wave impedance function was derived. The advantages of this ap…
Impurity in a three-dimensional unitary Bose gas
O. Hryhorchak, G. Panochko, V. Pastukhov
By using simple and efficient method we discuss properties of a single impurity immersed in three-dimensional Bose gas with the interaction between particles tuned to unitary limit…
Mean-field study of repulsive 2D and 3D Bose polarons
O. Hryhorchak, G. Panochko, V. Pastukhov
The detailed mean-field treatment of the Bose polaron problem in two and three dimensions is presented. Particularly, assuming that impurity is immersed in the dilute Bose gas and…