# Machine learning S-wave scattering phase shifts bypassing the radial Schrödinger equation

@article{Romualdi2021MachineLS, title={Machine learning S-wave scattering phase shifts bypassing the radial Schr{\"o}dinger equation}, author={Alessandro Romualdi and Gionni Marchetti}, journal={The European Physical Journal B}, year={2021} }

Phase shifts play a key role in partial wave analysis, and are the crucial quantities for obtaining the scattering amplitude by which the elastic scattering properties of the physical or chemical system of interest can be calculated. In particular, phase shifts δ0 in s-wave, i.e., when the angular momentum number l = 0, are significant for atomic collisions in ultracold regime where the s-wave scattering channel dominates. Moreover, in Coulomb systems the s-wave phase shift allows the δl with l…

## References

SHOWING 1-10 OF 34 REFERENCES

The absolute definition of the phase-shift in potential scattering

- Physics, Mathematics
- 2001

The variable phase approach to potential scattering with regular spherically symmetric potentials satisfying Eq. (1), and studied by Calogero in his book [Variable Phase Approach to Potential…

VPA: Computer program for the computation of the phase shift in atom-atom potential scattering using the Variable Phase Approach

- Computer Science, PhysicsComput. Phys. Commun.
- 2021

A computer code for the efficient implementation of the VPA method for atom–atom scattering problems over a wide range of scattering energies is presented and works for potentials which are singular and for those that are non-singular at the origin.

From Lippmann-Schwinger formulations to a general formula for absolute asymptotic scattering phase functions and shifts: a unified framework for potentials of any range

- PhysicsMolecular Physics
- 2019

Appropriately handling the Lippmann-Schwinger equation can bring substantial benefits in quantum scattering. Here, the advantages of a parametric equation for the system's normalised wavefunction, ψ,…

Recursive determination of phase shifts for screened Coulomb potentials

- Physics
- 2018

In the calculation of hot-plasma atomic structure, the continuum wavefunctions are characterized by phase shifts, which therefore determine the scattering cross-sections. In this short paper, we…

Spectral neighbor analysis method for automated generation of quantum-accurate interatomic potentials

- Physics, Computer ScienceJ. Comput. Phys.
- 2015

Results for a SNAP potential for tantalum are presented, showing that it accurately reproduces a range of commonly calculated properties of both the crystalline solid and the liquid phases.

Phase shifts of the three‐dimensional spherically symmetric square well potential

- Physics
- 1975

Although the general properties of the phase shift of the three‐dimensional spherically symmetrical square well potential are described in most textbooks on quantum mechanics, specific graphical…

Machine learning phases of matter

- Physics, Computer Science
- 2016

It is shown that modern machine learning architectures, such as fully connected and convolutional neural networks, can identify phases and phase transitions in a variety of condensed-matter Hamiltonians.

Single-particle relaxation time in doped semiconductors beyond the Born approximation

- Physics, Materials ScienceJournal of Applied Physics
- 2019

We compare the magnitudes of the single-particle relaxation time accurately computed by the variable phase approach are with those computed in the first Born approximation for doped semiconductors…

Statically screened ion potential and Bohm potential in a quantum plasma

- Physics
- 2015

The effective potential Φ of a classical ion in a weakly correlated quantum plasma in thermodynamic equilibrium at finite temperature is well described by the random phase approximation screened…

First principles view on chemical compound space: Gaining rigorous atomistic control of molecular properties

- Physics, Chemistry
- 2012

A well-defined notion of chemical compound space (CCS) is essential for gaining rigorous control of properties through variation of elemental composition and atomic configurations. Here, we give an…