Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction
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© 2015 The Authors. We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system.
Published Version (Please cite this version)10.1016/j.matpur.2015.09.003
Publication InfoPickl, Peter; Bach, Volker; Breteaux, Sébastien; Petrat, Sören; & Tzaneteas, Tim (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées, 105(1). 10.1016/j.matpur.2015.09.003. Retrieved from https://hdl.handle.net/10161/17112.
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Visiting Professor in the Trinity College of Arts and Sciences
Starting with the autumn term 2018 I will teach the foundational mathematics and integrated science courses in the undergraduate program at DKU. In the coming years, other classes on several topics of mathematics and mathematical physics will be taught.