Time-dependent quantum graph

  • Matrasulov D
  • Yusupov J
  • Sabirov K
  • et al.
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Abstract

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

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Matrasulov, D. U., Yusupov, J. R., Sabirov, K. K., & Sobirov, Z. A. (2015). Time-dependent quantum graph. Nanosystems: Physics, Chemistry, Mathematics, 173–181. https://doi.org/10.17586/2220-8054-2015-6-2-173-181

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