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1 Banach Center Publications

2 Gębarowski R.

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On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields

100%

Gębarowski R.

nr 1

197-204

Hydrogen atoms placed in external fields serve as a paradigm of a strongly coupled multidimensional Hamiltonian system. This system has been already very extensively studied, using experimental measurements and a wealth of theoretical methods. In this work, we apply the Morales-Ramis theory of non-integrability of Hamiltonian systems to the case of the hydrogen atom in perpendicular (crossed) static electric and magnetic uniform fields.

Monte Carlo simulations of the Ising model on a square lattice with random Gaussian interactions

100%

Gębarowski R.

The paper shows Monte Carlo simulations of the Ising model on a square lattice with no external magnetic field. In particular, the uncertainty of the spin coupling interactions in the Ising model has been considered. The influence on the phase transition of the Gaussian noise in the spin coupling values has been demonstrated.