Symmetry in Many-Body Physics

Many-Body Physics: Unfinished Revolution

The study of many-body physics has provided a scientific playground of surprise and continuing revolution over the past half century. The serendipitous discovery of new states and properties of matter, phenomena such as superfluidity, the Meissner, the Kondo and the fractional quantum hall effects, have driven the development of new conceptual frameworks for our understanding about collective b...

Shape-invariance and Many-body Physics

Recent developments in the study of shape-invariant Hamiltonians are briefly summarized. Relations between certain exactly solvable problems in many-body physics and shape-invariance are explored. Connection between Gaudin algebras and supersymmet-ric quantum mechanics is pointed out.

Quantum Computation, Complexity, and Many-body Physics

By taking advantage of the laws of physics it is possible to revolutionize the way we communicate (transmit), process or even store information. It is now known that quantum computers, or computers built from quantum mechanical elements, provide new resources to solve certain problems and perform certain tasks more efficiently than today’s conventional computers. However, on the road to a compl...

Mesoscopic Transport as Many-body Physics *

Partial Dynamical Symmetry in a Fermionic Many-body System

The fundamental concept underlying algebraic theories in quantum physics is that of an exact or dynamical symmetry. Realistic quantum systems, however, often require the associated symmetry to be broken in order to allow for a proper description of some observed basic features. Partial dynamical symmetry (PDS) describes an intermediate situation in which some eigenstates exhibit a symmetry whic...