Arnold Sommerfeld

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We derive topological string amplitudes on local Calabi-Yau manifolds in terms of polynomials in finitely many generators of special functions. These objects are defined globally in the moduli space and lead to a description of mirror symmetry at any point in the moduli space. Holomorphic ambiguities of the anomaly equations are fixed by global information(More)
We investigate a model for driven exclusion processes where internal states are assigned to the particles. The latter account for diverse situations, ranging from spin states in spintronics to parallel lanes in intracellular or vehicular traffic. Introducing a coupling between the internal states by allowing particles to switch from one to another induces(More)
Three properties characteristic for the Lorentz group are selected and all quantum groups with the same properties are found. As a result, a number of one, two and three parameter quantum deformations of the Lorentz group are discovered. The deformations described in [1] and [2] are among them. Only the Hopf ∗-algebra level is discussed.
<lb>For a continuum percolation model, it has been shown recently that the crossover<lb>from pure subdiffusion to normal diffusion extends over five decades in time [1, 2]; in<lb>addition, the asymptotic behavior is slowly approached and the large corrections cannot<lb>simply be ignored. Thus, it is of general interest to develop a systematic description(More)
In dieser Zeitschriit ~ habe ich fiber die Anfgnge einer neuen Theorie der Metallelektronen beriehtet. Icla ging dabei aus nicht yon der klassischen MAXWELL-BoLTZMANNschen Geschwindigkeitsverteilung, sondern yon der quantentheoretischen FER~I-DIRAc-Stafistik. Dadurch 16ste sich sofort das Rgtsel der spezifischen Wi~rmer~ (die ,,freien" Elektronen scheiden(More)
Actively propelled particles undergoing dissipative collisions are known to develop a state of spatially distributed coherently moving clusters. For densities larger than a characteristic value, clusters grow in time and form a stationary well-ordered state of coherent macroscopic motion. In this work we address two questions. (i) What is the role of the(More)