A selection of the latest papers to be designated IOP Select for their novelty, significance and potential impact on future research.
Fractal position spectrum for a class of oscillators
E Sadurní and E Rivera-Mociños from The Institute for Physics at the Autonomous University of Puebla show that the position operator in a class of f-deformed oscillators has a fractal spectrum. This image shows the numerical spectrum of an off-diagonal ergodic operator with periodic boundary conditions.
Algebraic area enclosed by random walks on a lattice
In this work Jean Desbois from Paris-Sud University computes the moments〈A2k〉of the algebraic area enclosed by a (closed or open) random walk on a lattice and also the characteristic function〈eiRA〉 at order 1/N2. The work begins with an algebraic area, A, enclosed by a random walk [OB] on a lattice. The walk is closed by adding the straight line [BO] (see figure).
Fusion rules for the logarithmic N = 1 superconformal minimal models: I. The Neveu–Schwarz sector
Michael Canagasabey et al explore some of the representation-theoretic aspects of the Neveu–Schwarz algebra that pertain to logarithmic conformal field theory. The figure shows examples of the structures of Neveu–Schwarz Fock modules.
Three-dimensional superintegrable systems in a static electromagnetic field
A Marchesiello et al’s paper details a systematic study of integrable and superintegrable systems in the presence of a magnetic field in three-dimensional Euclidean space E3 . The systems presented are exactly solvable, both in classical and quantum mechanics. The image shows an example of a classic trajectory given in terms of elliptic functions.
This work is licensed under a Creative Commons Attribution 3.0 Unported License. Images: 1. E Sadurní and E Rivera-Mociños 2015 J. Phys. A: Math. Theor. 48 405301 2. Jean Desbois 2015 J. Phys. A: Math. Theor. 48 425001 3. Michael Canagasabey et al 2015 J. Phys. A: Math. Theor. 48 415402 4. A Marchesiello et al 2015 J. Phys. A: Math. Theor. 48 395206 copyright IOP Publishing Ltd 2015
Categories: Journal of Physics A: Mathematical and Theoretical