Coupled Cluster theory and infinite nuclear matter
Contents
Introduction
Introduction
A non-practical way of solving the eigenvalue problem
A non-practical way of solving the eigenvalue problem
A non-practical way of solving the eigenvalue problem
A non-practical way of solving the eigenvalue problem
A non-practical way of solving the eigenvalue problem
A non-practical way of solving the eigenvalue problem
A non-practical way of solving the eigenvalue problem
Summarizing FCI and bringing in approximative methods
Summarizing FCI and bringing in approximative methods
Summarizing FCI and bringing in approximative methods
A quick tour of Coupled Cluster theory
A quick tour of Coupled Cluster theory
A quick tour of Coupled Cluster theory
A quick tour of Coupled Cluster theory
A quick tour of Coupled Cluster theory
A quick tour of Coupled Cluster theory
A quick tour of Coupled Cluster theory
The CCD approximation
The CCD approximation
The CCD approximation
The CCD approximation
The CCD approximation
Approximations to the full CCD equations
Approximations to the full CCD equations
Approximations to the full CCD equations
Approximations to the full CCD equations
Approximations to the full CCD equations
Introduction to studies of infinite matter
Infinite nuclear matter and neutron star matter
Properties of infinite nuclear matter
The infinite neutron gas as a homogenous system
Periodic boundary conditions and single-particle states
More on periodic boundary conditions and single-particle states
Magic numbers for the two-dimensional neutron (or electron) gas
Three-dimensional neutron gas
Single-particle states for the three-dimensional neutron gas
Input parameters
Potential model employed in code development
Fourier transform
Developing a program for infinite matter
Codes and reading material
The CCD equation
Solving the CCD equations
Memory considerations
More on memory
Using symmetries
Using symmetries II
Using symmetries III
Using intermediates
Defining intermediates
Speed up
Testing brute force against block structures for MBPT(2)
Convergence properties for pure neutron matter I
Convergence properties for pure neutron matter II
Comparing CCD with Monte Carlo
Magic numbers for the two-dimensional neutron (or electron) gas
\( n_{x}^{2}+n_{y}^{2} \)
\( n_{x} \)
\( n_{y} \)
\( N_{\uparrow \downarrow } \)
\( N_{\uparrow \uparrow } \)
0
0
0
2
1
1
-1
0
1
0
0
-1
0
1
10
5
2
-1
-1
-1
1
1
-1
1
1
18
9
4
-2
0
2
0
0
-2
0
2
26
13
5
-2
-1
2
-1
-2
1
2
1
-1
-2
-1
2
1
-2
1
2
42
21
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