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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Asymptotic Methods in Quantum Mechanics - Application to Atoms, Molecules and Nuclei (Hardcover, 2000 ed.)
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Asymptotic Methods in Quantum Mechanics - Application to Atoms, Molecules and Nuclei (Hardcover, 2000 ed.)
Series: Springer Series in Chemical Physics, 64
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Quantum mechanics and the Schrodinger equation are the basis for
the de scription of the properties of atoms, molecules, and nuclei.
The development of reliable, meaningful solutions for the energy
eigenfunctions of these many is a formidable problem. The usual
approach for obtaining particle systems the eigenfunctions is based
on their variational extremum property of the expectation values of
the energy. However the complexity of these variational solutions
does not allow a transparent, compact description of the physical
structure. There are some properties of the wave functions in some
specific, spatial domains, which depend on the general structure of
the Schrodinger equation and the electromagnetic potential. These
properties provide very useful guidelines in developing simple and
accurate solutions for the wave functions of these systems, and
provide significant insight into their physical structure. This
point, though of considerable importance, has not received adequate
attention. Here we present a description of the local properties of
the wave functions of a collection of particles, in particular the
asymptotic properties when one of the particles is far away from
the others. The asymptotic behaviour of this wave function depends
primarily on the separation energy of the outmost particle. The
universal significance of the asymptotic behaviour of the wave
functions should be appreciated at both research and pedagogic
levels. This is the main aim of our presentation here."
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