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Nozières' work has been concerned with various facets of the many-body problem.
It is therefore a very effective approach to simplify the many-body problem in quantum mechanics.
He was also awarded the Feenburg medal for his contributions to the many-body problem.
The "many-body problem" for helium and other few electron systems can be solved quite accurately.
He studied a many-body problem on the collective oscillations of a quantum-mechanical system.
It is difficult to solve this many-body problem explicitly in either classical or quantum mechanics.
However, complications can arise in the many-body problem.
It remains a one-electron approximation to a multitudinous many-body problem.
The quantum many-body problem leads naturally to the large and rapidly growing field of computational chemistry.
Our understanding of the quantum many-body problem is severely limited by the power of classical computers.
However, when the Coulomb interaction is switched on, we have a many-body problem of interacting particles.
Then Milankovich treated the two-body and the many-body problems of celestial mechanics.
It is these strong interactions that make it very difficult to predict and understand the behavior of solids (see many-body problem).
His main research concerns integrable many-body problems.
This reduces the many-body problem to the calculation of a sum or integral over all possible auxiliary field configurations.
However, there are approximations that can reduce a many-body problem to a set of two-body problems in a variety of cases.
He authored over 60 published articles and made significant impact on the fields of quantum field theory, nuclear physics, and the many-body problem.
To set up a stable array of Kerr-Newman black holes called for solutions to the many-body problem in general relativity.
A classical many-body problem composed of an infinite number of mass points coupled together by springs is quantized.
Quantum Monte Carlo methods solve the many-body problem for quantum systems.
Generally speaking, the Monte Carlo method is a statistical approach to solve deterministic many-body problems.
Classical many-body problems amenable to exact treatments...
One of the major goals of these approaches is to provide a reliable solution (or an accurate approximation) of the quantum many-body problem.
The Many-Body Problem.
In addition, the computational cost and computational complexity for many-body problems (and their classical counterparts) tend to grow quickly.