arXiv subjects

S. G. Donev

Publications and source records attributed to S. G. Donev.

3 recordsLinked to original sources

arXiv2002

On the Influence of the Unit Cell Type on the Wave Function in One-Dimensional Kronig-Penney Models

We study the influence of the different choice of unit cells on the Bloch solutions of Schrçdinger equation for one-dimensional periodic Kronig- Penney models with rectangular potential barriers or potential wells and partially constant effectiv mass. We obtain generalized Kronig-Penney relations for bulk states and exact expressions for the corresponding periodic parts of the Bloch wave functions for the two possible choices of the matching conditions in an unit cell. We show also that our analitic expressions reduce to the well known expressions for the Kronig-Penney relations and Bloch waves under constant effective mass and appropriate matching conditions.

quant-ph↗

arXiv2001

Polarized distances between quantum states and observables

The proposition 1 is incomplete. In some of the examples D(a,b) may not obey the triangle inequality. The paper is withdrawn for further elaboration.

quant-ph↗

arXiv1998

Characteristic uncertainty relations

New uncertainty relations for n observables are established. The relations take the invariant form of inequalities between the characteristic coefficients of order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean commutators of the observables. It is shown that the second and the third order characteristic inequalities for the three generators of SU(1,1) and SU(2) are minimized in the corresponding group-related coherent states with maximal symmetry.

quant-ph↗