For the most part atomic and molecular spectra can not be computed from any underlying physical theory because solving
the quantum mechanical problems involved is too hard.
You have probably not seen it presented in this way because we don't like to talk about scary Quantum Mechanics and a lot of the stupidity on comments is because they are trying to apply classic physics to
a quantum mechanical problem.
Not exact matches
Moreover, the model can be generalized to add another path toward the solution of complex classical computational
problems by taking advantage of
quantum mechanical parallelism — the fact that, according to
quantum mechanics, a system can be in many classical states at the same time.
If you then consider the same
problem, but on a
quantum mechanical scale, so you're thinking of, for example, of a particle such as an electron, if its experiencing the same kind of a potential, it's in a well or a [bowl] and there's a barrier that the electron needs to overcome to get outside.
It turns out that this
quantum -
mechanical way of manipulating information gives
quantum computers the ability to solve certain
problems far more efficiently than any conceivable conventional computer.
«This phenomenon is a huge
problem when constructing
quantum computers, because it prevents
quantum mechanical superposition states from being maintained long enough to be used for computing operations.»
Because of the sheer number of electrons interacting with each other, it is not possible to solve exactly the
problem of many - electron motion in solids using
quantum mechanical theory.
But within the past year, they have shown remarkable promise at resolving one of the thorniest
problems facing physicists who study the way matter behaves at the
quantum mechanical level.
Such computers make use of
quantum -
mechanical properties and can therefore solve some particular
problems much faster than our current computers.
When I was a physicist, back in the days when supercomputers had as much power as a cellphone, those of us who studied orientational forces between molecules of hydrogen or nitrogen used spherical harmonics to represent the behaviors (shperoidal wave functions, actually, since it is a
quantum -
mechanical problem).