DVR-jl

Solves the quantum n-body problem in finite volume (lattice) with periodic boundary conditions. Uses discrete variable representation (DVR) with optional support for complex scaling to study resonances. All details can be found in H. Yu, N. Yapa, and S. König, Complex scaling in finite volume, Phys. Rev. C 109, 014316 (2024).

Installation

Make sure you have Julia installed. To install the required packages, follow these steps:

1. Open a terminal in the project root directory.
2. Start Julia with the project environment activated:

   julia --project=.
   

3. Enter the package manager mode by pressing ].
4. Run the instantiate command:

   (DVR-jl) pkg> instantiate
   

Alternatively, you can run this single command from your terminal:

julia --project=. -e 'import Pkg; Pkg.instantiate()'

Usage

See calculations/3b_bound.jl for an example on a 3-body bound state. See calculations/3b_res_from_paper.jl for an example of a 3-body resonance via complex scaling.

Planned features

• Spin and isospin degrees of freedom for nuclear calculations
• Multi-node HPC support
• Parity and cubic symmetries (S_4)

Acknowledgments

The author gratefully acknowledges the guidance from Sebastian König.