Many-Particle Quantum Graphs: A Review
From MaRDI portal
Publication:5126330
DOI10.1007/978-3-030-44097-8_2zbMath1473.81068arXiv1805.00725OpenAlexW2799174546MaRDI QIDQ5126330
Publication date: 16 October 2020
Published in: Discrete and Continuous Models in the Theory of Networks (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.00725
Distance in graphs (05C12) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum waveguides, quantum wires (82D77) Bosonic systems in quantum theory (81V73) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Heat kernel estimates for the \({{\bar{\partial}}}\)-Neumann problem on \(G\)-manifolds
- Many-body boson systems. Half a century later
- The trace formula for quantum graphs with general self adjoint boundary conditions
- Hilbert space operators in quantum physics
- Two particles on a star graph. I.
- Two particles on a star graph. II.
- Spectres et groupes cristallographiques. I: Domaines euclidiens. (Spectra and crystallographic groups. I: Euclidean domains)
- Chaos in classical and quantum mechanics
- Periodic orbit theory and spectral statistics for quantum graphs
- Schrödinger operators with singular interactions
- On a two-particle bound system on the half-line
- Perturbation theory for linear operators.
- Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces
- Impact of surface defects on a condensate of electron pairs in a quantum wire
- On bound electron pairs on the half-line
- Zero modes of quantum graph Laplacians and an index theorem
- On the inverse scattering method for integrable PDEs on a star graph
- A remark on the effect of random singular two-particle interactions
- \(n\)-particle quantum statistics on graphs
- Two interacting particles on the half-line
- Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations
- Nonlinear Schrödinger equation on graphs: recent results and open problems
- Exactly solvable interacting two-particle quantum graphs
- On the number of negative eigenvalues of the Laplacian on a metric graph
- Quantum statistics on graphs
- Bose-Einstein Condensation and Liquid Helium
- Bound Electron Pairs in a Degenerate Fermi Gas
- Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
- An Invitation to Random Schroedinger operators
- Finite propagation speed and causal free quantum fields on networks
- Kirchhoff's rule for quantum wires
- A solvable non-separable quantum two-body problem
- Proof of Bose–Einstein condensation for interacting gases with a one-particle spectral gap
- Interplay between Zamolodchikov–Faddeev and reflection–transmission algebras
- On pairs of interacting electrons in a quantum wire
- Scattering properties of two singularly interacting particles on the half-line
- Two-body scattering on a graph and application to simple nanoelectronic devices
- Quantum graphs with singular two-particle interactions
- Quantum graphs with two-particle contact interactions
- Many-particle quantum graphs and Bose-Einstein condensation
- Solvable models of interacting 𝑛-particle systems on quantum graphs
- Heat-kernel and Resolvent Asymptotics for Schrodinger Operators on Metric Graphs
- Homology groups for particles on one-connected graphs
- EXACT RESULTS FOR THE ONE-DIMENSIONAL MANY-BODY PROBLEM WITH CONTACT INTERACTION: INCLUDING A TUNABLE IMPURITY
- Study of Exactly Soluble One-Dimensional N-Body Problems
- ANDERSON LOCALIZATION FOR A MULTI-PARTICLE QUANTUM GRAPH
- Quantum graphs: I. Some basic structures
- Inverse spectral problem for quantum graphs
- Solvable quantum two-body problem: entanglement
- Quantum fields on star graphs
- Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
- Angewandte Funktionalanalysis
- Theory of Superconductivity
- Statistical mechanics.
- Caught by disorder. Bound states in random media
This page was built for publication: Many-Particle Quantum Graphs: A Review
