On a two-particle bound system on the half-line

DOI10.1016/S0034-4877(17)30068-XzbMath1384.70010arXiv1604.06693MaRDI QIDQ1746044

Tobias Mühlenbruch, Joachim Kerner

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06693

zbMATH Keywords

essential spectrumdiscrete spectrummoleculequantum graphsingular interactions

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Two-body problems (70F05) Other fundamental interactions in quantum theory (81V19)

Related Items (7)

Two-particle bound states at interfaces and corners ⋮ On pairs of interacting electrons in a quantum wire ⋮ A remark on the effect of random singular two-particle interactions ⋮ On bound electron pairs on the half-line ⋮ Many-Particle Quantum Graphs: A Review ⋮ Bound states of a pair of particles on the half-line with a general interaction potential ⋮ On the number of isolated eigenvalues of a pair of particles on the half-line

Cites Work

• The trace formula for quantum graphs with general self adjoint boundary conditions
• Hilbert space operators in quantum physics
• Quantum waveguides
• Two interacting particles on the half-line
• A solvable non-separable quantum two-body problem
• Quantum graphs with singular two-particle interactions
• Quantum graphs with two-particle contact interactions
• Solvable quantum two-body problem: entanglement

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