000K  utf8
0100  1914035607
1100  2024$c2024-11-21
1500  eng
2050  urn:nbn:de:gbv:ilm1-2024200157
3000  Akramov, Mashrab
3010  Matrasulov, Davron
3010  Trunk, Carsten
3010  Yusupov, Jambu
4000  Discrete Schrödinger equation on graphs: an effective model for branched quantum lattice  [Akramov, Mashrab]
4060  7 Seiten
4209  We propose an approach to quantize discrete networks (graphs with discrete edges). We introduce a new exact solution of discrete Schroedinger equation that is used to write the solution for quantum graphs. Formulation of the problem and derivation of secular equation for arbitrary quantum graphs is presented. Application of the approach for the star graph is demonstrated by obtaining eigenfunctions and eigenvalues explicitely. Practical application of the model in conducting polymers and branched molecular chains is discussed.
4950  https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2024200157$xR$3Volltext$534
4961  http://uri.gbv.de/document/gvk:ppn:1914035607
5051  510
5550  discrete networks
5550  discrete Schroedinger equation
5550  eigenfunctions and eigenvalues