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Time-dependent quantum graph

D. U. MatrasulovNational University of Uzbekistan, 100174, Tashkent, UzbekistanJambul YusupovNational University of Uzbekistan, 100174, Tashkent, UzbekistanK.K. SabirovNational University of Uzbekistan, 100174, Tashkent, UzbekistanZ. A. Sobirov
Nanosystems Physics Chemistry Mathematicsjournal2015en
ABI

Abstract

In this paper, we study quantum star graphs with time-dependent bond lengths. Quantum dynamics are treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. The time-dependence of the average kinetic energy is analyzed. The space-time evolution of a Gaussian wave packet is treated for an harmonically breathing star graph.

Topics

Quantum chaos and dynamical systemsCold Atom Physics and Bose-Einstein CondensatesSpectroscopy and Quantum Chemical Studies

Identifiers

DOI
10.17586/2220-8054-2015-6-2-173-181

Citations and references

Cited by 528 references
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