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 ISSN 1064-8275.

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 ISSN 1050-2947.

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 ISSN 0031-9007.

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 ISSN 1364-5021. [ 🗎 Public].

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 ISSN 0036-1410. [ 🗎 Public].

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 ISSN 1540-3459.

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 ISSN 0036-1410.