The low energy effective theory of N = 4 super-Yang-Mills theory on S 3 with an R-symmetry chemical potential is shown to be the lowest Landau level system. This theory is a holomorphic complex matrix quantum mechanics. When the value of the chemical potential is not far below the mass of the scalars, the states of the effective theory consist only of the half-BPS states. The theory is solved b...

Nonadiabatic transitions play crucial roles in various dynamic processes in physics, chemistry, and biology. This is true also for laser control of molecular dynamics. In this lecture, I will first explain the importance of nonadiabatic transitions together with the basic theories and then demonstrate how various molecular processes can be controlled by manipulating lasers. Actually, by control...

The theories of Lev Davidovich Landau built the backbone of 20th-century condensed-matter physics. They described superfluidity, tenets of superconductivity, and diverse corners of astrophysics, particle physics and many other disciplines. To this day, Landau levels, Landau diamagnetism, Landau spectrum, Landau-Ginzburg theory and other Landau discoveries remain essential tools. His texts taugh...

LLE Review, Volume 92 181 Stimulated Raman scattering (SRS), an instability in which light is scattered by and amplifies electron plasma waves, has long been a concern in laser-fusion research because of its potential to reduce absorption and implosion efficiency. This concern is enhanced by the unsatisfactory state of the theory, particularly in accounting for the prevalence of anomalous SRS—s...