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General Theory of Many-Particle Systems

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Mathematical Concepts of Quantum Mechanics

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In this chapter, we extend the concepts developed in the previous chapters to many-particle systems. Specifically, we consider a physical system consisting of N particles of masses m1,...,mN which interact pairwise via the potentials Vij (xi − xj), where xj is the position of the j-th particle. Examples of such systems include atoms or molecules – i.e., systems consisting of electrons and nuclei interacting via Coulomb forces.

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Correspondence to Stephen J. Gustafson .

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Gustafson, S.J., Sigal, I.M. (2020). General Theory of Many-Particle Systems. In: Mathematical Concepts of Quantum Mechanics. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-59562-3_13

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