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Introduction to Mathematical Physics/N body problem in quantum mechanics/Introduction
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In this chapter, body problems that quantum mechanics can treat are
presented. In atoms, elements in interaction are the nucleus and the
electrons. In molecules, several nuclei and electrons are in
interaction. Cristals are characterized by a periodical arrangment of
their atoms. In this chapter, only
spectral properties of hamiltonians are presented. Thermodynamical properties
of collections of atoms and molecules are presented at next chapter.
From a mathematical point of view, this chapter is an application of the
spectral method presented at section chapmethspec to study linear
evolution problems.