Some examples of quantum graphs

Some Examples of Contextuality in Physics: Implications to Quantum Cognition

Contextuality, the impossibility of assigning a single random variable to represent the outcomes of the same measurement procedure under different experimental conditions, is a central aspect of quantum mechanics. Thus defined, it appears in well-known cases in quantum mechanics, such as the double-slit experiment, the Bell-EPR experiment, and the Kochen-Specker theorem. Here we examine context...

Quantum Graphs I. Some Basic Structures

We use the name “quantum graph” for a graph considered as a one-dimensional singular variety and equipped with a self-adjoint differential (in some cases pseudo-differential) operator (“Hamiltonian”). There are manifold reasons for studying quantum graphs. They naturally arise as simplified (due to reduced dimension) models in mathematics, physics, chemistry, and engineering (nanotechnology), w...

Quantum Graphs II: Some spectral properties of quantum and combinatorial graphs

The paper deals with some spectral properties of (mostly infinite) quantum and combinatorial graphs. Quantum graphs have been intensively studied lately due to their numerous applications to mesoscopic physics, nanotechnology, optics, and other areas. A Schnol type theorem is proven that allows one to detect that a point λ belongs to the spectrum when a generalized eigenfunction with an subexpo...

Representations : Some Examples

Some Effective Oop Examples

This paper will present two examples that we feel can convince students of the benefits of object-oriented design and spur their interest. Both examples are well-known and fun to program. We first describe a sorting animation. In this project we will ask students to implement animation of various sorting algorithms, and for each sorting algorithm the user can choose one of two methods of animat...