Tilman Sauer

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Path integral Monte Carlo (PIMC) simulations have become an important tool for the investigation of the statistical mechanics of quantum systems. I discuss some of the history of applying the Monte Carlo method to non-relativistic quantum systems in path-integral representation. The principle feasibility of the method was well established by the early(More)
A historical account of Einstein’s Fernparallelismus approach towards a unified field theory of gravitation and electromagnetism is given. In this theory, a spacetime characterized by a curvature-free connection in conjunction with a metric tensor field, both defined in terms of a dynamical tetrad field, is investigated. The approach was pursued by Einstein(More)
Einstein explicitly used the term ‘unified field theory’ in the title of a publication for the first time in 1925. Ten more papers appeared in which the term is used in the title, but Einstein had dealt with the topic already in half a dozen publications before 1925. In total he wrote more than forty technical papers on the subject. This work represents(More)
MOTIVATION 'Phylogenetic footprinting' is a widely applied approach to identify regulatory regions and potential transcription factor binding sites (TFBSs) using alignments of non-coding orthologous regions from two or more organisms. A systematic evaluation of its validity and usability based on known TFBSs is needed to use phylogenetic footprinting most(More)
Einstein’s early thoughts about superconductivity are discussed as a case study of how theoretical physics reacts to experimental findings that are incompatible with established theoretical notions. One such notion that is discussed is the model of electric conductivity implied by Drude’s electron theory of metals, and the derivation of the Wiedemann-Franz(More)
We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalar φ4-model on a square lattice. To investigate the performance of the new algorithm at the field-driven first-order phase transitions between the two ordered phases we carefully analyze the autocorrelations of the Monte Carlo process. Compared with standard(More)
Einstein’s early calculations of gravitational lensing, contained in a scratch notebook and dated to the spring of 1912, are reexamined. A hitherto unknown letter by Einstein suggests that he entertained the idea of explaining the phenomenon of new stars by gravitational lensing in the fall of 1915 much more seriously than was previously assumed. A(More)
In a recent paper, Aidan Lyon and Mark Colyvan have proposed an explanation of the structure of the bee’s honeycomb based on the mathematical Honeycomb Conjecture. This explanation has instantly become one of the standard examples in the philosophical debate on mathematical explanations of physical phenomena. In this critical note, I argue that the(More)
Myron Mathisson (1897–1940) was a Polish Jew known for his work on the equations of motion of bodies in general relativity and for developing a new method to analyze the properties of fundamental solutions of linear hyperbolic differential equations. In particular, he derived the equations for a spinning body moving in a gravitational field and proved, in a(More)