scholarly journals Conservation of Particle Number in the Nuclear Pairing Model

1964 ◽  
Vol 135 (1B) ◽  
pp. B22-B34 ◽  
Author(s):  
Klaus Dietrich ◽  
Hans J. Mang ◽  
Jean H. Pradal
2003 ◽  
Vol 12 (01) ◽  
pp. 109-123 ◽  
Author(s):  
M. R. OUDIH ◽  
M. FELLAH ◽  
N. H. ALLAL

An exact number conserving approach is formulated in the quasiparticle representation to show the effect of the particle-number projection on the ground and the first 0+ excited states. It is applied to the two-level pairing model, which allows an exact solution and a comparison to other approaches. The present method has proved to be an advantageous alternative as compared to the BCS and to the usual methods used to restore the particle number symmetry.


Author(s):  
H.J.G. Gundersen

Previously, all stereological estimation of particle number and sizes were based on models and notoriously gave biased results, were very inefficient to use and difficult to justify. For all references to old methods and a direct comparison with unbiased methods see recent reviews.The publication in 1984 of the DISECTOR, the first unbiased stereological probe for sampling and counting 3—D objects irrespective of their size and shape, signalled the new era in stereology — and give rise to a number of remarkably simple and efficient techniques based on its distinct property: It is the only known way to obtain an unbiased sample of 3-D objects (cells, organelles, etc). The principle is simple: within a 2-D unbiased frame count or sample only cells which are not hit by a parallel plane at a known, small distance h.The area of the frame and h must be known, which might sometimes in itself be a problem, albeit usually a small one. A more severe problem may arise because these constants are known at the scale of the fixed, embedded and sectioned tissue which is often shrunken considerably.


1997 ◽  
Vol 44 (10) ◽  
pp. 1801-1814 ◽  
Author(s):  
MARTIN WILKENS and CHRISTOPH WEISS

Tellus B ◽  
2008 ◽  
Vol 60 (4) ◽  
Author(s):  
Miikka Dal Maso ◽  
Antti Hyvärinen ◽  
Mika Komppula ◽  
Peter Tunved ◽  
Veli-Matti Kerminen ◽  
...  

2005 ◽  
Vol 39 (12) ◽  
pp. 2261-2273 ◽  
Author(s):  
Pentti Paatero ◽  
Pasi Aalto ◽  
Sally Picciotto ◽  
Tom Bellander ◽  
Gemma Castaño ◽  
...  

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