Continuous-time quantum walks on nonorientable surfaces: analytical solutions for Möbius strips and Klein bottles

DOI10.1088/1751-8113/45/28/285301zbMath1248.81041OpenAlexW2086848380MaRDI QIDQ2901869

Publication date: 31 July 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/45/28/285301

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Möbius geometries (51B10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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