Classical and quantum wave dynamics on time-dependent geometric graph |
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Authors: | Igor Y Popov Dmitri S Nikiforov |
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Institution: | Department of Higher Mathematics, ITMO University, Kroverkskiy pr. 49, St. Petersburg 197101, Russia |
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Abstract: | Geometric graph composed from a ring and a segment is considered. We deal with the Schrödinger (quantum) and the wave (classical) operators at the edges and the Kirchhoff conditions at the internal vertex. The lengths of the graph edges varies in time. Time evolution of a wave packet is studied in classical and quantum cases. |
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Keywords: | Quantum graph Spectrum Time evolution 81Q10 |
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