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2 Acta Physica Polonica A

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One-Dimensional versus Three-Dimensional Approaches to the Rydberg Wave Packet Dynamics

100%

Kopyciuk T. , Parzyński R.

Acta Physica Polonica A

2006

tom 110

nr 1

41-49

We show that a one-dimensional approximation to a real three-dimensional atom offers good results for a selected group of the Rydberg states. It is demonstrated in the context of evolution of the Rydberg wave packets produced by the so-called half-cycle pulses.

Collinear and Non-Collinear Configurations in Classical Geometrically Frustrated Ring-Shaped Systems

80%

Grajek M. , Kopyciuk T. , Florek W. , Marlewski A.

Acta Physica Polonica A

2018

tom 133

nr 3

417-419

Geometrically frustrated quantum spin systems, with competing antiferromagnetic couplings, show the Kahn degenerate frustration for some specific values of Heisenberg Hamiltonian parameters. It has been recently shown for rings with a defect bond and centered rings. In the case of classical counterparts of these systems, degenerated configurations with the lowest energy are present for the energy function parameter greater than a certain threshold. In these domains such configurations are planar but non-collinear with continuous changes of the net magnetic moment with respect to the Hamiltonian parameter. Outside these domains there is unique collinear ground state configuration (neglecting choice of the net magnetic moment direction). However, these collinear configurations are the same in both non-frustrated and geometrically frustrated domains. Numerically exact calculations for quantum systems strongly confirm that determined properties of their classical counterparts realize the classical limit s→∞.