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4 papers · 1 filter
Optimized Perturbation Methods for the Free Energy of the Anharmonic Oscillator
Kostas Vlachos, Anna Okopinska
Two possibile applications of the optimized expansion for the free energy of the quantum-mechanical anharmonic oscillator are discussed. The first method is for the finite temperat…
Boundary-induced anisotropy of the avalanches in the sandpile automaton
Gongwen Peng, Hans Herrmann
We study numerically the avalanches in a two--dimensional critical height sandpile model with sand grains added at the center of the system. Smaller avalanches near the center of t…
Quantum Solitons with Cylindrical Symmetry
N. Chepilko, A. Kobushkin, A. Syamtomov
Soliton solutions with cylindrical symmetry are investigated within the nonlinear -model disregarding the Skyrme-stabilization term. The solitons are stabilized by quantization…
An analog of the Fourier transformation for a q-harmonic oscillator
Richard A. Askey, Natig M. Atakishiyev, Serge\uı K. Suslov
A q-version of the Fourier transformation and some of its properties are discussed.