Fulop-Tsutsui interactions on quantum graphs

DOI10.1016/j.physleta.2010.08.053zbMath1238.81124arXiv1006.5852OpenAlexW1987412782MaRDI QIDQ418504

Taksu Cheon, Ondřej Turek

Publication date: 29 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5852

zbMATH Keywords

Schrödinger operatorscale invariancequantum wiresingular vertex

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items

Quantum graph vertices with permutation-symmetric scattering probabilities ⋮ Tripartite connection condition for a quantum graph vertex ⋮ Path integral on star graph ⋮ Hermitian unitary matrices with modular permutation symmetry ⋮ Quantum graph as a quantum spectral filter

Cites Work

• Unnamed Item
• Chaos in a one-dimensional integrable quantum system
• Irregular dynamics in a solvable one-dimensional quantum graph
• Free quantum motion on a branching graph
• A free particle on a circle with point interaction
• Approximation of a general singular vertex coupling in quantum graphs
• Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
• Hermitian symplectic geometry and extension theory
• Bosonization and scale invariance on quantum wires
• Kirchhoff's rule for quantum wires
• Index theorems for quantum graphs