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By H. Araki, V. Bach, J. Yngvason (Editors)
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Extra resources for Reviews in Mathematical Physics - Volume 5
Example text
A Mott transition is observed when some effective two-body (density and temperature dependent) hamiltonian Heff (p,~) looses its bound states as the density p increases (~ = (kBTr l is the inverse temperature). The effective hamiltonian can be obtained in various approximation schemes. D becomes of the order of the Bohr radius, all eigenvalues merge into the continuum. More refined effective two-body hamiltonians exhibiting the Mott effect have been derived by means of a decoupling of the hierarchy equations for the Green's functions of the manyparticle system (see [2] and references quoted therein).
Introduction Investigations of bound states and ionization processes in dense plasmas are of interest for the study of stars and planets as well as for technical applications. We will show in this work that Greens function methods or direct fugacity expansions which are based on the grand ensemble yield the natural representation for bound state systems [1]. However on the other hand, fugacity expansions are not appropriate to describe the effects of short range forces. Already a few terms of a density expansion (canonical ensemble) give a good representation of short range interactions but they do not reflect bound state effects.
0005 respectively 41 The effect of an electrical field 8 for 2D disordered system is shown on the Fig. 2, 0 = 4n/12. 015. 0005. Lines 2. 3 display the Monte Carlo results for bariers without and in presence electrical field respectively. For small distance the effect of electrical field is negligible. as the perturbation effect is defined by the average potential of electrical field on the paths from p' to p ( Ip-p'l < 200 ). On the middle distance the electrical field implies the increase of above mentioned peaks.
Reviews in Mathematical Physics - Volume 5 by H. Araki, V. Bach, J. Yngvason (Editors)
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