Titlebook: Mathematical Concepts of Quantum Mechanics; Stephen J. Gustafson,Israel Michael Sigal Textbook 2020Latest edition Springer-Verlag GmbH Ger

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Mathematical Concepts of Quantum Mechanics978-3-030-59562-3Series ISSN 0172-5939 Series E-ISSN 2191-6675

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Spectrum and Dynamics, (.) as mean value of the observable A in a state ., which is validated by quantum experiments, leads to the answer. It is the spectrum of .. The most important observable is the energy – the Schrödinger operator, ., of a system. Hence the spectrum of . gives the possible values of the energy.

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Special Cases and Extensions,e to explicit computations providing the desired results. The results presented below not only illustrate some of the general arguments presented above, but also form a basis for our intuition about quantum behaviour.

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General Theory of Many-Particle Systems,sting of N particles of masses .,...,. which interact pairwise via the potentials . (. − .), where . is the position of the .-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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Self-Consistent Approximations,ous regimes. One such approximation, which has a nice unifying theme and connects to large areas of physics and mathematics, is the one approximating solutions of .-particle Schrödinger equations by products of . one-particle functions (i.e. functions of 3 variables).

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