@article{BridgesReich2006, author = {Bridges, Thomas J. and Reich, Sebastian}, title = {Numerical methods for Hamiltonian PDEs}, issn = {0305-4470}, doi = {10.1088/0305-4470/39/19/S02}, year = {2006}, abstract = {The paper provides an introduction and survey of conservative discretization methods for Hamiltonian partial differential equations. The emphasis is on variational, symplectic and multi-symplectic methods. The derivation of methods as well as some of their fundamental geometric properties are discussed. Basic principles are illustrated by means of examples from wave and fluid dynamics}, language = {en} } @article{MalicWeberRichteretal.2011, author = {Malic, E. and Weber, C. and Richter, M. and Atalla, V. and Klamroth, Tillmann and Saalfrank, Peter and Reich, Sebastian and Knorr, A.}, title = {Microscopic model of the optical absorption of carbon nanotubes functionalized with molecular spiropyran photoswitches}, series = {Physical review letters}, volume = {106}, journal = {Physical review letters}, number = {9}, publisher = {American Physical Society}, address = {College Park}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.106.097401}, pages = {4}, year = {2011}, abstract = {The adsorption of molecules to the surface of carbon nanostructures opens a new field of hybrid systems with distinct and controllable properties. We present a microscopic study of the optical absorption in carbon nanotubes functionalized with molecular spiropyran photoswitches. The switching process induces a change in the dipole moment leading to a significant coupling to the charge carriers in the nanotube. As a result, the absorption spectra of functionalized tubes reveal a considerable redshift of transition energies depending on the switching state of the spiropyran molecule. Our results suggest that carbon nanotubes are excellent substrates for the optical readout of spiropyran-based molecular switches. The gained insights can be applied to other noncovalently functionalized one-dimensional nanostructures in an externally induced dipole field.}, language = {en} }