The overarching theme of my main work has been tackling complicated quantum many-body problems, describing experiment and making predictions for real (i.e., not model) systems. 

  • atomic and molecular diagrammatic many-body theory;
  • theory of low-energy antimatter (positron and positronium) interactions with atoms and molecules;
  • theory of atomic and molecular collisions;
  • quantum chaos;
  • theory of ultraintense-laser matter interactions.
  • computational quantum many-body physics & quantum chemistry; including development of B-spline and Gaussian basis approaches, ab initio GW/Bethe-Salpeter methods and beyond. 

Preprints/under review

  • Many-body theory calculations of positronic-bonded molecular dianions
    J. P. Cassidy, J. Hofierka, B. Cunningham, C. M. Rawlins, and D. G. Green (under review

  • Positron binding in HCN
    J. Hofierka, B. Cunningham and D. G. Green (under review).

Many-body theory/antimatter interactions with atoms and molecules

Many-body theory calculations of positron scattering and annihilation in noble-gas atoms, via solution of Bethe-Salpeter equations using the Gaussian-basis code EXCITON+,
J. Hofierka, B. Cunningham, C. M. Rawlins, D. T. Waide and D. G. Green,
Frontiers in Physics 11, 1227652 (2023).

Many-body theory calculations of positron scattering and annihilation in H2, N2 and CH4,
C. M. Rawlins*, J. Hofierka*, B. Cunningham, C. H. Patterson and D. G. Green (*) joint-first authors

arXiv:2303.02083, Phys. Rev. Lett. 130, 263001 (2023) [open access]

Many-body theory for positronium scattering and pickoff annihilation in noble-gas atoms,
A. R. Swann, D. G. Green, G. F. Gribakin,
arXiv:2105.06749, Phys. Rev. A 107, 042802 (2023) [Open Access]

Positron cooling via inelastic collisions in CF4 and N2 gases,
A. R. Swann and D. G. Green, arXiv:2105.06904, Phys. Rev. Lett. 130 033001 (2023).

Many-body theory of positron binding in polyatomic molecules
J. Hofierka, B. Cunningham, C. M. Rawlins, C. H. Patterson, D. G. Green, Nature 606, 688 (2022) [open access].

BSHF: A program to solve the Hartree–Fock equations for arbitrary central potentials using a B-spline basis,
D. T. Waide, D. G. Green, G. F. Gribakin,
Comput. Phys. Commun. 250, 107112 (2020).

Many-body theory for positronium-atom interactions,
D. G. Green, A. R. Swann, and G. F. Gribakin, Phys. Rev. Lett. 120, 183402 (2018)

Probing positron cooling in noble gases via annihilation γ spectra,
D. G. Green, Phys. Rev. Lett. 119, 203404 (2017).

Positron cooling and annihilation in noble gases,
D. G. Green, Phys. Rev. Lett. 119, 203403 (2017).

Comment on “Gamma-ray spectra from low-energy positron annihilation processes in molecules,
D. G. Green and G. F. Gribakin, Phys. Rev. A 
95, 036701 (2017).

γ-ray spectra and enhancement factors for positron annihilation spectra with core-electrons
D. G. Green and G. F. Gribakin, Phys. Rev. Lett. 
114, 093201 (2015).

Positron scattering and annihilation on noble gas atoms
D. G. Green, J. A. Ludlow, G. F. Gribakin, Phys. Rev. A 
90, 032712 (2014).

Positron scattering and annihilation in hydrogen-like ions
D. G. Green, G. F. Gribakin, Phys. Rev. A 
88, 032708 (2013).

Effect of positron-atom interactions on the annihilation gamma spectra of molecules,
D. G. Green, S. Saha, F. Wang, G. F. Gribakin and C. M. Surko, New. J. Phys. 14, 035021 (2012).

Comment on “Cavity Induced Shift and Narrowing of the Positronium Lyman-α Transition”,
D. G. Green and G. F. Gribakin, Phys. Rev. Lett. 106, 209301 (2011).

“Calculation of gamma spectra for positron annihilation on molecules”,
D. G. Green, S. Saha, F. Wang, G. F. Gribakin, and C. M. Surko, Mat. Sci. Forum 666, 21 (2010).

Ultraintense laser-plasma interactions

(my close collaborator and friend in this work, Chris Harvey, who was a Research Fellow of similar age, is deceased).

SIMLA: Simulating laser-particle interactions via classical and quantum electrodynamics
D. G. Green and C. N. Harvey, Comput. Phys. Commun. 192, 313(2015).

Transverse spreading of electrons in high-intensity laser fields
D. G. Green and C. N. Harvey, Phys. Rev. Lett. 
112, 164801 (2014).

“Numerical modelling of Compton scattering in ultra-intense laser pulses”,
C. N. Harvey and D. G. Green,
J. Phys. Conf. Ser. 594, 012052 (2015).

Atomic and Molecular collisions, cold molecules and quantum chaos

The approach to chaos in ultracold atomic and molecular physics: statistics of near-threshold bound states for Li+CaH and Li+CaF
M. D. Frye, M. Morita, C. L. Vaillant, D. G. Green, Jeremy M. Hutson
Phys. Rev. A 
93, 052713 (2016)

Quantum chaos in ultracold collisions between Yb(1S0) and Yb(3P2)
D. G. Green, C. L. Vaillant, M. D. Frye, M. Morita, J. M. Hutson
Phys. Rev. A 
93, 022703 (2016).

Chapters in Books

D. G. Green and G. F. Gribakin, Enhancement factors for positron annihilation on valence and core orbitals of noble-gas atoms. In: Y. Wang, M. Thachuk, R. Krems, and J. Maruani (eds.), Concepts, Methods and Applications of Quantum Systems in Chemistry and Physics, Progress in Theoretical Chemistry and Physics, vol. 31 (Springer, 2018), pp. 243-263. arXiv:1703.06980 ; Original publication

Other publications

A Quantised Cyclin-Based Cell Cycle Model
C. Emerson, L. Bennie, N. M. Byrne, D. G. Green, F. J. Currell, J. A. Coulter,
Journal of Biotechnology and Biomedicine, accepted (2023).