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The Four–Dimensional Spacetime
Physics theories are made by building mathematical models that correspond to physical systems. General Relativity, the physical theory of...
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Finding Exponential Product Formulas of Higher Orders
In the present article, we review the progress in the last two decades of the work on the Suzuki-Trotter decomposition, or the exponential product...
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Exploring Complex Landscapes with Classical Monte Carlo
Nowadays, the annealing concept is useful in (at least) two different fields, namely Physics and Optimization. The annealing strategy was well known...
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Quantum Spin Glasses
In this chapter of this monograph we want to provide an overview on the current status of our knowledge on the theory of quantum spin glasses. Spin...
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13 Fermi and Bose Gas at Non-zero Temperature
As an example of symmmetry breaking at non-zero temperature we discuss the free Fermi and Bose gas, starting from finite volume and then discussing...
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Introduction to Part II
These notes arose from courses given at the International School for Advanced Studies (Trieste) and at the Scuola Normale Superiore (Pisa) in various...
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8 Examples
The model describes the simplest non-linear field theory and it can be regarded as a prototype of field theories in one space dimension (s=1). The...
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Derivation of Force and Power Equations
The inconsistency between the power and force equations of motion, (2.4) and (2.1) or (2.5), is so surprising that one is tempted to question the...
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Internal Binding Forces
In Appendix B, we have critically confirmed the evaluation of the self electromagnetic force and power, (3.1) and (3.2), leading to the force and...
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The CML2004 Project
Coupled map lattices (CML) are basic models for the time evolution of nonlinear systems which, above all, are extended in space or involve many...
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On Phase Transitions in Coupled Map Lattices
Coupled map lattices are a paradigm for studying fundamental questions in spatially extended dynamical systems. Within this tutorial we focus on...
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Spin-Based Quantum Dot Quantum Computing
This chapter is an overview of the research on spin-based quantum dot quantum computation, which covers two most prominent architectures, one based...
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Velocity Dispersion Analysis of CNOC Clusters
I present results of the analysis of the internal velocity dispersions,...
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Magellanic Cloud Eclipsing Binaries: Distances and Dimensions
In this contribution we analyse previously unpublished radial velocity curves in conjunction with other already published light curves, Strömgren...
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The Galactic Bulge: Prospects for the VLT
The central bulge of the Galaxy is 100 times closer than the nearest extragalactic bulge, that of M31. Until the era of 100m telescopes arrives, the...
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The Stellar Mass Function
Considerable progress has been made recently in more accurately determining the frequency distribution of stellar masses in the critical 0.1 to 1 m...
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Extrasolar Planets Transits: Detection and Follow-Up
The detection of transits has a rich potential of information about extrasolar planets. This contribution gives an overview and new perspectives on...
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Astrometry with the VLT Interferometer
The VLTI was originally conceived as an imaging instrument, providing a resolution of a few milliarcseconds at near-infrared wavelengths for studies...
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Effects of Anisotropy on the Central Dark Mass in NGC 3115. New Results from Integral Field Spectroscopy
We report new results on the stellar kinematics and the mass distribution of the galaxy NGC 3115 based on NIR integral field spectroscopic data....
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Molecular Gas in Nuclei of the Seyfert Galaxies NGC3227 and NGC1068
New subarcsecond data on NGC 3227 and NGC 1068 obtained with the Plateau de Bure millimeter interferometry indicate large enclosed masses and the...