Grundkurs Theoretische Physik 7. Viel-Teilchen-Theorie by Wolfgang Nolting

By Wolfgang Nolting

Der Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Die grundlegend überarbeitete Neuauflage des 7. Bandes wurde um weitere Aufgaben sowie Abschnitte zur Hochenergiephysik ergänzt. Mit der zweifarbigen Darstellung ist der Lehrstoff nun noch übersichtlicher gegliedert.

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Extra resources for Grundkurs Theoretische Physik 7. Viel-Teilchen-Theorie

Sample text

I. THE ATOM 23 Is, 2s, 3s and 4s wave functions to be similar to the hydrogenic in that the Is has no nodes, the 2s one node, the 3s two nodes, etc. A node occurs when the wave function changes sign and, of course, the wave function and probability distribution are zero at this point. The number of nodes enables us to assign the principal quantum number «(« = / + 1 + number of nodes). While ms does not appear in the hydrogenic solution its assignment is made consistent with the Pauli principle by employing the determinantal form of the wave function.

For more complicated atoms see Seitz Modern Theory of Solids. , 1940. If we are dealing with the ground state of He then both electrons are Is electrons and their approximate one-electron wave functions are

C. crystal |x| = 2n/d = 2n (h2 + k2 + l^/ao. h, k, I are the so-called Miller indices (in this case h = 2, 4, 6; k = 0; / = 0) and a0 is the lattice spacing 3-509 Â. Substituting these values we get kx = 1-79/Â, 3-58/Â, 5-37/Â for the (200), (400) and (600) planes respectively. The probability distribution varies smoothly from its almost constant value along CD for kx = 0 to one which has a maximum at the point along CD closest to the atoms (x = 0). This energy gap occurs at kx = 1-79/Â, E = 0-41 eV.

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