Through these studies, QUESTDO promises critical new insight on the quantum many-body problem
in solids, and will advance our understanding and demonstrate atomic-scale control of the physical properties of delafossites.
In the 1992 edition of his book A Guide to Feynman Diagrams in the Many-Body Problem
, physicist Richard Mattuck compares the dilemma to trying to describe a galloping horse and all the grains of dust that it kicks up.
Their study helped them understand that the process by which stem cells differentiate is a many-body problem
study the solution to the Kohn-Sham equation in the density functional theory of the quantum many-body problem
in the context of the electronic structure of the smoothly deformed macroscopic crystals.
Although the nuclear standoff is becoming a many-body problem
, humanity can still arrest widespread proliferation throughout the nations opposed to Enlightenment values.
With these tools in hand, the nonlinear many-body problem
, the molecular dynamics, the low dimensionality and nanostructures are then explored.
It seems that a truly rigorous and elegant solution will be achieved only by finding a mathematical transformation that reduces the many-body problem
to a one-body problem.
Our steady-state setup represents a fundamental paradigm of mathematical statistical physics which has been pioneered by the PI, who gave the first explicit solution for boundary driven/dissipative strongly interacting many-body problem
(XXZ spin 1/2 chain) which answered a long debated question on strict positivity of the spin Drude weight at high temperature.
Among the topics are the validity of random matrix theories for many-particle systems, the angular-momentum dependence of the density of states, group theory and the propagation of operator averages, electromagnetic sum rules by spectral distribution methods, compound-nuclear tests of time reversal invariance in the nucleon-nucleon interaction, strength functions and spreading widths of simple shell model configurations, and underlying symmetries of realistic interactions and the nuclear many-body problem
The rest of the book covers new elements of resonance theory, waves in periodic structures, wave mechanics on lattices, systems of coupled Schrodinger equations, and multidimensional and many-body problems
Recently, we have developed a new domain-decomposition strategy for many-body problems
that is particularly appropriate for these irregular organic system simulations--details of the method are given in .
With these ambitious goals, the TOPSIM project will considerably advance our understanding of topological fermionic matter, paving the way to new methods of investigation of open questions in both high- and low-energy physics, by approaching many-body problems
with metrological quantum control.