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Ab initio derivation of model EDFs
Jacek Dobaczewski
University of York, University of Jyväskylä, University of Warsaw
Bridging nuclear ab-initio and EDF theories
Orsay, France, 2-6 October 2017
Jacek Dobaczewski
1/24
Ab initio project in collaboration with:
• Gianluca Salvioni, Jyväskyla
• Karim Bennaceur, Lyon
• Carlo Barbieri, Surrey
• Andrea Idini, Surrey
• Gillis Carlsson, Lund
• Alessandro Pastore, York
Jacek Dobaczewski
2/24
Outline
1. Ab initio DFT
2. Ab initio derivations of nuclear DFT
3. Conclusions
Jacek Dobaczewski
3/24
Density Functional Theory:
A variational method that uses
a two-step variational
procedure.
Levy and Lieb construction,
see Chapter 3.4 in R.G. Parr and W. Yang
Density-Functional Theory of Atoms and Molecules
(New York, Oxford University Press, 1989)
J. D., J. Phys.: Conf. Ser. 312, 092002 (2011)
What is DFT?
Jacek Dobaczewski
4/24
A two-step variation
I
23
22
19
34
21
42
22
21
34
20
19
II
21
25
43
24
21
32
32
18
31
29
18
III
38
27
30
24
23
27
22
42
23
32
22
IV
21
23
31
32
27
35
20
21
26
37
20
V
32
22
36
25
22
23
21
25
34
33
21
VI
32
20
21
32
35
36
27
31
22
21
20
VII
31
33
42
32
25
31
42
29
31
23
23
VIII
24
29
24
32
42
23
34
45
32
27
23
Jacek Dobaczewski
5/24
Density Functional Theory:
A variational method that uses
a two-step variational
procedure.
Divide all states into groups that have the
same densities, an then:
1. Find the lowest energy in each group
(very, very, difficult)
2. Find the lowest energy among all groups
(relatively easy)
J. D., J. Phys.: Conf. Ser. 312, 092002 (2011)
What is DFT?
Jacek Dobaczewski
6/24
Density Functional Theory:
A variational method that uses
observables as variational
parameters.
J. D., J. Phys.: Conf. Ser. 312, 092002 (2011)
What is DFT?
Jacek Dobaczewski
7/24
J. D., J. Phys.: Conf. Ser. 312, 092002 (2011)
Which DFT?
Jacek Dobaczewski
8/24
Density Functional Theory:
Exact: A variational method
that uses a two-step variational
procedure with observables
used for the variational
parameters.
Practical: Build a model of
density functional.
J. D., J. Phys.: Conf. Ser. 312, 092002 (2011)
What is DFT?
Jacek Dobaczewski
9/24
Dobaczewski.pdf (PDF, 3.78 MB)
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