Jerzy Mycielski

Uncertainty relations for information entropy in wave mechanics

New uncertainty relations in quantum mechanics are derived. They express restrictions imposed by quantum theory on probability distributions of canonically conjugate variables in terms of corresponding information entropies. The Heisenberg uncertainty relation follows from those inequalities and so does the Gross-Nelson inequality.

Gaussons: Solitons of the Logarithmic Schrödinger Equation

Properties of the Schrodinger equation with the logarithmic nonlinearity are briefly described. This equation possesses soliton-like solutions in any number of dimensions, called gaussons for their Gaussian shape. Excited, stationary states of gaussons of various symmetries, in two and three dimensions are found numerically. The motion of gaussons in uniform electric and magnetic fields is studied and explicit solutions describing linear and rotational internal oscillations are found and analyzed.

Formation of a superlattice of ionized resonant donors or acceptors in semiconductors

Abstract In a semiconductor with high concentration of resonant donor states in the conduction band or of resonant acceptor states in the valence band, the Fermi level is pinned to the resonant state and only some of the resonant donors (or acceptors) are ionized. Due to the (screened) Coulomb interaction of the ionized centers, there occurs an ordering in space of these centers (made possible by the presence of neutral centers), even in the form of “crystallization”. It has a dramatic effect on scattering of free carriers. We compare these predictions with the recent data on Hg 1− x Fe x Se.

Measuring the trade effects of the euro in Central and Eastern Europe

We study trade effects of the euro adoption in Central and Eastern Europe (CEE). We employ a gravity model that controls for an extended set of trade theory and policy variables. The gravity model is estimated using the panel data approach on a sample of Organisation for Economic Co-operation and Development (OECD) and CEE countries trading with the rest of the world during the period 1993–2008. We find that the adoption of the euro results in trade expansion for the CEE countries. This result is driven by elimination of exchange rate volatility and accession to the European Economic and Monetary Union (EMU). However, our forecasts show that this effect is short-lived.

Employment Fluctuations and Dynamics of the Aggregate Average Wage in Poland 1996-2003

The aggregate average wage is often used as an indicator of economic performance and welfare, and as such often serves as a benchmark for changes in the generosity of public transfers and for wage negotiations. Yet if economies experience a high degree of (nonrandom) fluctuation in employment the composition of the employed population will have a considerable effect on the computed average. In this paper we demonstrate the extent of this problem using data for Poland for the period 1996-2003. During these years employment in Poland fell from 51.2% to 44.2% and most of it occurred between the end of 1998 and the end of 2002. We show that about a quarter of the growth in the average wage during this period could be attributed purely to changes in employment.

Consequences of the Euro Adoption by Central and Eastern European (CEE) Countries for Their Trade Flows

In this paper we estimate the trade effects of the euro adoption in Central European countries using a modified gravity model. In particular, we analyze the ex post implications of accession of Slovenia and Slovakia to the Eurozone. We employ a gravity model that controls for an extended set of trade theory and policy variables. Trade theory variables include both the country size and factor proportion variables. Trade policy variables include the membership in GATT/WTO, CEFTA, OECD, EU and Europe Agreements. The gravity model is estimated using the panel data approach on a sample of CEE countries trading with the rest of the world during the period 1992-2010 using the fixed effects, random effects and Hausman-Taylor estimators. It seems that elimination of exchange rate volatility resulted in trade expansion for the CEE countries but the accession to the Eurozone did not have any significant effects on exports of Slovakia and Slovenia.

Euro and Trade Flows in Central Europe

In this paper we estimate the trade effects of the euro adoption in Central European countries using a modified gravity model. In particular, we analyze the ex post implications of accession of Slovenia and Slovakia to the Eurozone. We employ a gravity model that controls for an extended set of trade theory and policy variables. Trade theory variables include both the country size and factor proportion variables. Trade policy variables include the membership in GATT/WTO, CEFTA, OECD, EU and Europe Agreements. The gravity model is estimated using the panel data approach on a sample of CEE countries trading with the rest of the world during the period 1992-2009 using the fixed effects, random effects and Hausman-Taylor estimators. It seems that elimination of exchange rate volatility resulted in trade expansion for the CEE countries but the accession to the Eurozone did not have any significant effects on exports of Slovakia and Slovenia.

Nonlinear Electric and Optical Effects in Graded Mixed Semiconductors

For semiconductor with position-dependent effective mass an additional force is acting on free carrier. Taking this force into account, the Boltzmann equation is solved in the case of two oscillating electric fields. The second order conductivity tensor is discussed in both ωτ >>1 and ωτ <<1 cases.

Gauge invariance in the theory of hopping magnetoresistance in semiconductors

Abstract We have shown that the relative importance of the phase effect and the size effect in the theories of hopping magnetoresistance in doped semiconductors depends on the form of the vector potential describing the external magnetic field. Both effects have to be treated together because their relative importance is not gauge invariant.

SOCIAL DEVELOPMENT AND INTERNATIONAL TRADE IN CENTRAL EUROPE

In this paper we study the impact of social development on international trade in Central and Eastern Europe using the generalized gravity model. Many previous empirical studies which explored the determinants of trade flows, concentrated only on traditional gravity variables, such as the size of trading partners, factor abundance, technology differences or distance. In our study, in addition to the standard set of gravity variables, we examine the role of aggregate social develop-ment indicators such as Human Development Index and its components. Our results show that both aggregate and disaggregate measures of social development affect the volume of international trade flows. In particular, the education indexes seem to be positively related to bilateral trade flows.