12 citations · 20 across the 8 of their papers we have counts for
9 papers
An improved bound for the ground state of a Schrödinger operator on a loop
Helmut Linde
Consider a closed curve of length with curvature and the Schrödinger operator with as the potential term. Let be the lowest eigenvalue of . The Ovals…
Does the Brain Infer Invariance Transformations from Graph Symmetries?
Helmut Linde
The invariance of natural objects under perceptual changes is possibly encoded in the brain by symmetries in the graph of synaptic connections. The graph can be established via uns…
Can the brain use waves to solve planning problems?
Henry Powell, Mathias Winkel, Alexander V. Hopp +1
A variety of behaviors like spatial navigation or bodily motion can be formulated as graph traversal problems through cognitive maps. We present a neural network model which can so…
A New Way of Visualizing Quantum Fields
Helmut Linde
Quantum Field Theory (QFT) is the basis of some of the most fundamental theories in modern physics, but it is not an easy subject to learn. In the present article we intend to pave…
Geometrically induced two-particle binding in a wave guide
Helmut Linde
For mathematical models of quantum wave guides we show that in some situations two interacting particles can be trapped more easily than a single particle. In particular, we give a…
A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space
Rafael D. Benguria, Helmut Linde
Let be some domain in the hyperbolic space $\Hn$ (with ) and the geodesic ball that has the same first Dirichlet eigenvalue as . We prove the Payne-Pólya-Weinb…