The intriguing δ 0 Pavel Exner Doppler Institute for Mathematical Physics and Applied Mathematics Prague with grateful remembrance of a common work which inspired various further explorations

Source URL: gemma.ujf.cas.cz

Loops and trees: spectral and resonance properties of quantum graphs Pavel Exner in collaboration with Brian Davies and Jiˇri Lipovsk´y [removed]

Source URL: gemma.ujf.cas.cz

• Quantum mechanics
• Quantum graph
• Leonhard Euler
• Graph
• Carbon nanotube
• Mathematics
• Physics
• Combinatorics

Lectures on quantum graphs, ideal, leaky, and generalized Pavel Exner [removed] Doppler Institute

Source URL: gemma.ujf.cas.cz

Quantum graphs and their applications Part II, following lectures by Peter Kuchment Pavel Exner [removed]

Source URL: gemma.ujf.cas.cz

• Topology
• Graph
• NP-complete problems
• Hamiltonian path
• Graph theory
• Mathematics
• Quantum graph

A regular version of Smilansky model Pavel Exner Doppler Institute for Mathematical Physics and Applied Mathematics Prague in collaboration with Diana Barseghyan

Source URL: gemma.ujf.cas.cz

• Phase space
• Spectrum
• Gesellschaft für Angewandte Mathematik und Mechanik
• Theoretical physics
• Dimension
• Spectral theory
• Physics
• Exner

Isoperimetric problems for point sources and inequalities for loop chords Pavel Exner [removed]

Source URL: gemma.ujf.cas.cz

• Quantum mechanics
• Analytic geometry
• Calculus of variations
• Isoperimetric inequality
• Multivariable calculus
• Schrödinger equation
• Isoperimetric problem
• Erwin Schrödinger
• Physics
• Mathematical analysis
• Mathematics

Geometrically induced bound states in Dirichlet layers Pavel Exner in collaboration with David Krejˇciˇr´ık, Pierre Duclos and Gilles Carron [removed]

Source URL: gemma.ujf.cas.cz

• Mathematical physics
• Quantum gravity
• Physics
• Theoretical physics
• Quantum mechanics

Geometric properties of point-interaction Hamiltonians ground state Pavel Exner in collaboration with Andrea Mantile and Michal Jex [removed]

Source URL: gemma.ujf.cas.cz

• Linear algebra
• Matrix theory
• Singular value decomposition
• Riemannian geometry
• Spectral geometry
• Dirichlet eigenvalue
• Eigenvalues and eigenvectors
• Algebra
• Mathematics
• Spectral theory

Inequalities for means of chords, with applications to isoperimetric problems Pavel Exner in collaboration with Evans Harrell and Michael Loss [removed]

Source URL: gemma.ujf.cas.cz

• Quantum mechanics
• Mathematical physics
• Erwin Schrödinger
• Mystics
• Schrödinger equation
• Isoperimetric inequality
• Eigenvalues and eigenvectors
• Physics
• Algebra
• Mathematics

Unstable system dynamics: do we understand it fully? Pavel Exner, in part together with Martin Fraas, Takashi Ichinose, Sylwia Kondej Hagen Neidhardt and Valentin Zagrebnov [removed]

Source URL: gemma.ujf.cas.cz

• Mathematical physics
• Quantum Zeno effect
• Physics
• Quantum mechanics
• Quantum measurement