@article {vanivcek2003uniform,
	title = {Uniform semiclassical wave function for coherent two-dimensional electron flow},
	journal = {Physical Review E},
	volume = {67},
	year = {2003},
	pages = {016211},
	publisher = {APS},
	abstract = {We find a uniform semiclassical (SC) wave function describing coherent branched flow through a two-dimensional electron gas (2DEG), a phenomenon recently discovered by direct imaging of the current using scanned probed microscopy [M.A. Topinka, B.J. LeRoy, S.E.J. Shaw, E.J. Heller, R.M. Westervelt, K.D. Maranowski, and A.C. Gossard, Science 289, 2323 (2000)]. The formation of branches has been explained by classical arguments [M.A. Topinka, B.J. LeRoy, R.M. Westervelt, S.E.J. Shaw, R. Fleischmann, E.J. Heller, K.D. Maranowski, and A.C. Gossard, Nature (London) 410, 183 (2001)], but the SC simulations necessary to account for the coherence are made difficult by the proliferation of catastrophes in the phase space. In this paper, expansion in terms of {\textquotedblleft}replacement manifolds{\textquotedblright} is used to find a uniform SC wave function for a cusp singularity. The method is then generalized and applied to calculate uniform wave functions for a quantum-map model of coherent flow through a 2DEG. Finally, the quantum-map approximation is dropped and the method is shown to work for a continuous-time model as well.},
	url = {https://doi.org/10.1103/PhysRevE.67.016211},
	author = {Van{\'{\i}{\v c}ek, Ji{\v r}{\'{\i} and Heller, EricJ.}
}
