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Application of Spectral Analysis for Diagnostics of Precision Motion of Optical and Mechanical Units
We perform spectral studies of the vibrational phenomena which are caused by imperfection of the optical and mechanical units used in the...
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Formation and Parametric Amplification of Femtosecond Pulses with a Central Wavelength of 910nm Using Radiation from a Subpicosecond Ytterbium Laser
We use the methods of supercontinuum generation and nonlinear parametric transformations to develop a laser system that forms femtosecond pulses with...
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9 The Goldstone Theorem
The mechanism of SSB does not only provide a general strategy for unifying the description of apparently different systems, but it also provide...
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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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6 Sectors with Energy-Momentum Density
We shall now discuss the requirement III of finite energy-momentum, briefly mentioned in the previous section. Clearly, the possibility of using...
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Noncommutative Line Bundles and Gerbes
We introduce noncommutative line bundles and gerbes within the framework of deformation quantization. The Seiberg-Witten map is used to construct the...
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Secondary Characteristic Classes of Lie Algebroids
We show how the intrinsic characteristic classes of Lie algebroids can be seen as characteristic classes of representations. We present two...
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Local Models for Manifolds with Symplectic Connections of Ricci Type*
We show that any symplectic manifold (Mω) of dimension 2n(n≥ 2) admitting a symplectic connection of Ricci type can locally be constructed by a...
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Hadron Structure and QCD: Effective Field Theory for Lattice Simulations
Chiral extrapolations will be essential for many years if one is to connect modern lattice QCD calculations with experiment. Given the enormous...
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Quark Propagator from LQCD and Its Physical Implications
The quark propagator lies at the core of lattice hadron spectrum calculations as well as studies in other nonperturbative schemes. It manifestly...
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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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1 Symmetries of a Classical System
The realization of symmetries in physical systems has proven to be of help in the description of physical phenomena: it makes it possible to relate...
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14 Quantum Fields at Non-zero Temperature
The general structure discussed above provides a neat and unique prescription for the quantization of relativistic fields at non-zero temperature...
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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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Baryon Spectroscopy in Lattice QCD
We review recent developments in the study of excited baryon spectroscopy in lattice QCD. After introducing the basic methods used to extract masses...
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Hadron Properties with FLIC Fermions
The Fat-Link Irrelevant Clover (FLIC) fermion action provides a new form of nonperturbative O(a)-improvement in lattice fermion actions offering near...
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Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces
I give an introduction to Euclidean quantum field theory from the point of view of statistical physics, with emphasis both on Feynman graphs and on...
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An Infinite Family of Isospectral Pairs Topological Aspects
We give some basic properties of the isospectral pairs (Γ,Γ) of two bipartite graphs Γ and Γ. Then we present a systematic method of constructing an...
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Some Noncommutative Spheres
Noncommutative geometry provides us various means to deal with noncommutative phenomena in mathematics, and C*-algebras (and von Neumann algebras)...
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From Quantum Tori to Quantum Homogeneous Spaces
We construct dual objects for quantum complex projective spaces as quantum homogeneous spaces of quantum unitary groups, in which the deformation...