scholarly journals Low-Order Scaling G0W0 by Pair Atomic Density Fitting

2020 ◽  
Vol 16 (12) ◽  
pp. 7381-7399
Author(s):  
Arno Förster ◽  
Lucas Visscher
Keyword(s):  
Atomic Density ◽  
Density Fitting ◽  
Low Order

Fast construction of the exchange operator in an atom-centred basis with concentric atomic density fitting

2017 ◽  
Vol 115 (17-18) ◽  
pp. 2065-2076 ◽  
Author(s):  
David S. Hollman ◽  
Henry F. Schaefer ◽  
Edward F. Valeev
Keyword(s):  
Atomic Density ◽  
Density Fitting ◽  
Exchange Operator

scholarly journals Efficient evaluation of exact exchange for periodic systems via concentric atomic density fitting

2020 ◽  
Vol 153 (12) ◽  
pp. 124116
Author(s):  
Xiao Wang ◽  
Cannada A. Lewis ◽  
Edward F. Valeev
Keyword(s):  
Atomic Density ◽  
Periodic Systems ◽  
Density Fitting ◽  
Exact Exchange

the effects of resonance with Jupiter in the system of short-period comets

1974 ◽  
Vol 22 ◽  
pp. 193-203
Author(s):  
L̆ubor Kresák
Keyword(s):  
Structural Effects ◽  
Order Resonance ◽  
Mean Motion ◽  
Short Period ◽  
The Mean ◽  
Compound Effect ◽  
Low Order

AbstractStructural effects of the resonance with the mean motion of Jupiter on the system of short-period comets are discussed. The distribution of mean motions, determined from sets of consecutive perihelion passages of all known periodic comets, reveals a number of gaps associated with low-order resonance; most pronounced are those corresponding to the simplest commensurabilities of 5/2, 2/1, 5/3, 3/2, 1/1 and 1/2. The formation of the gaps is explained by a compound effect of five possible types of behaviour of the comets set into an approximate resonance, ranging from quick passages through the gap to temporary librations avoiding closer approaches to Jupiter. In addition to the comets of almost asteroidal appearance, librating with small amplitudes around the lower resonance ratios (Marsden, 1970b), there is an interesting group of faint diffuse comets librating in characteristic periods of about 200 years, with large amplitudes of about±8% in μ and almost±180° in σ, around the 2/1 resonance gap. This transient type of motion appears to be nearly as frequent as a circulating motion with period of revolution of less than one half that of Jupiter. The temporary members of this group are characteristic not only by their appearance but also by rather peculiar discovery conditions.

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