2011

Betz, Volker and Goddard, Benjamin D. (2011) Nonadiabatic transitions through tilted avoided crossings. SIAM Journal on Scientific Computing, Vol.33 (No.5). pp. 2247-2276. doi:10.1137/100802347

2010

Friesecke, Gero and Goddard, B. D. (2010) Atomic structure via highly charged ions and their exact quantum states. Physical Review A, Vol.81 (No.3). Article no. 032516. doi:10.1103/PhysRevA.81.032516

2009

Betz, Volker and Goddard, B. (Benjamin) (2009) Accurate prediction of nonadiabatic transitions through avoided crossings. Physical Review Letters, Vol.103 (No.21). Article no. 213001. doi:10.1103/PhysRevLett.103.213001

Betz, Volker, Goddard, B. and Teufel, Stefan (2009) Superadiabatic transitions in quantum molecular dynamics. Proceedings of the Royal Society of London. A, Mathematical, Physical and Engineering Sciences, Vol.465 (No.2111). pp. 3553-3580. doi:10.1098/rspa.2009.0337

Friesecke, Gero and Goddard, B. (Benjamin) (2009) Explicit large nuclear charge limit of electronic ground states for Li, Be, B, C, N, O, F, Ne and basic aspects of the periodic table. SIAM Journal on Mathematical Analysis, Vol.41 (No.2). pp. 631-664. doi:10.1137/080729050

Friesecke, Gero and Goddard, Benjamin D. (2009) Asymptotics-based CI models for atoms: properties, exact solution of a minimal model for Li to Ne, and application to atomic spectra. Multiscale Modeling & Simulation, Vol.7 (No.4). pp. 1876-1897. doi:10.1137/080736648

Goddard, Benjamin D. (2009) Rate of convergence of the configuration interaction model for the helium ground state. SIAM Journal on Mathematical Analysis, Vol.41 (No.1). pp. 77-116. doi:10.1137/080727956