Titlebook: Quantum Mechanics; An Introduction Walter Greiner Textbook 19943rd edition Springer-Verlag Berlin Heidelberg 1994 Hamiltonian.curvilinear c

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Elementary Aspects of the Quantum-Mechanical Many-Body Problem,the location of the particle ., i.e. ?. only acts on the coordinates of the ith particle. Consequently the momentum operators of different particles commute, i.e. for all ., .. Thus the many-particle Hamiltonian reads

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,The Schr?dinger Equation,subject to certain boundary conditions. At the very beginning of the development of quantum mechanics, one was faced with the problem of finding a differential equation describing discrete states of an atom. It was not possible to deduce exactly such an equation from old and well-known physical prin

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Elementary Aspects of the Quantum-Mechanical Many-Body Problem,ian function of the system in classical mechanics. The Hamiltonian function describes a system of . particles with mass .. Here, .(., .) is the externally given potential (the so-called .), in which the .th particle moves; it can, for example, mean the external electric potential. .(., .) stands for

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Identical Particles,that have the same mass, charge, spin etc. and behave in the same manner under equal physical conditions. Therefore, in contrast with macroscopic objects, it is not possible to distinguish between particles like electrons (protons, pions, a particles) on the basis of their characteristics or their t