physics: "physics of the third kind"
physics has emerged as the new third
branch of physics besides the traditional branches of experimental and
theoretical physics. The purpose of computational physics is not to
numbers, but to gain insight. This is particularly true if scientific
and supercomputers are coupled to sophisticated tools of visualization.
During the last decade we have witnessed an almost exponential growth
computing power. This unparalled growth has redefined the classes of
problems we are able to solve. What seemed at the forefront of research
ten years ago can now be done on a high-speed scientific workstation.
massively parallel supercomputers allow us to address, at a fundamental
rather than phenomenological level, some of the most challenging
problems of modern-day physics.
world: interacting quantum many-particle
problem that is common to many areas of
physics -- and other natural sciences such as chemistry -- is the
many-particle problem. Theorists working in atomic, condensed matter,
and astrophysics (and some areas of elementary particle physics) face a
very similar challenge: how to describe, usually at the quantum level,
the features of many particle systems in terms of more basic
constituent particles. There are essentially two different approaches
the quantum many-particle problem which might be termed
and fundamental. In the first case, one tries to simplify the physical
system to such an extent that the arising physical "model" can be
analytically or with little computational effort. This approach is
the first stage in the development of a theory. As the field begins to
mature, attention shifts from simple intuitive models to a
understanding, i.e. one attempts to describe physical systems "ab
starting from the most basic equations and physical principles.
physicists prefer the second approach. Almost all interacting quantum
systems cannot be formulated perturbatively; in fact, the interesting
phenomenon (e.g. the ground state energy of the quantum system) is
an infinite sum of perturbative diagrams. This means that the
machinery of quantum field theory (Feynman diagrams etc.) is
useless, and the quantum field equations must be solved by new
schemes without invoking perturbation theory. Because of the complexity
of quantum mechanical many-body problems this implies a numerical
on massively parallel architectures and requires substantial advances
both science and compuational algorithms.
Physics: Interdisciplinary Research
The essence of
computational physics lies in the
observation that many of the fundamental equations of physics have a
mathematical structure: for example, the many-particle Schroedinger and
Dirac equations as well as the nonrelativistic or relativistic
equations are all partial differential equations in space and time. All
of the above-mentioned basic equations of physics can be implemented on
spatial coordinate lattices; there will still be differences between
of the physics problems to be studied, for example short-range vs.
interactions, uniform vs. non-uniform lattice spacing etc.
with careful planning, computational physicists are capable of
numerical methods and algorithms that can be utilized in a transparent
manner in many subfields of physics. Computational physics is truly