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Books > Science & Mathematics > Physics > Atomic & molecular physics
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The J-Matrix Method - Developments and Applications (Hardcover, 4., ??Berarb. A)
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The J-Matrix Method - Developments and Applications (Hardcover, 4., ??Berarb. A)
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Although introduced30 years ago, the J-matrix method has witnessed
a resurgence of interest in the last few years. In fact, the
interest never ceased, as some authors have found in this method an
effective way of handling the continuous spectrum of scattering
operators, in addition to other operators. The motivation behind
the introduction of the J-matrix method will be presented in brief.
The introduction of fast computing machines enabled theorists to
perform cal- lations, although approximate, in a conveniently short
period of time. This made it possible to study varied scenarios and
models, and the effects that different possible parameters have on
the ?nal results of such calculations. The ?rst area of research
that bene?ted from this opportunity was the structural calculation
of atomic and nuclear systems. The Hamiltonian element of the
system was set up as a matrix in a convenient, ?nite,
bound-state-like basis. A matrix of larger size resulted in a
better con?guration interaction matrix that was subsequently
diagonalized. The discrete energy eigenvalues thus obtained
approximated the spectrum of the system, while the eigenfunctions
approximated the wave function of the resulting discrete state.
Structural theorists were delighted because they were able to
obtain very accurate values for the lowest energy states of
interest.
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