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Introduction
We summarize the topics presented in this book, and when appropriate we enlighten cross–references among the different topics: high precision and...
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Cosmological Applications of Loop Quantum Gravity
After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes...
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Quantum Corrections to Scalar Quintessence Potentials
We give a brief introduction into the formalism of the effective action. We use the effective action to investigate the stability of scalar...
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The Accelerating Universe and Dark Energy: Evidence from Type Ia Supernovae
I discuss the use of Type Ia supernovae (SNe Ia) for cosmological distance determinations. Low-redshift SNe Ia (...
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The Structure Functions F2 c , F L and F L c in the Framework of the k T Factorization
We present the perturbative parts of the structure functions F2 c and F L...
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B Physics and CP Violation
After an introduction to the Standard-Model description of CP violation, we turn to the main focus of these lectures, the B-meson system. Since...
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Deep Inelastic J/ψ Production at HERA in the Colour Singlet Model with k T -Factorization
We consider J/ψ meson production in ep deep inelastic scattering in the colour singlet model using the k T...
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Heavy Flavor Production off Protons and in a Nuclear Environment
These lectures present an overview of the current status of the QCD based phenomenology for open and hidden heavy flavor production at high energies....
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4 Abelian Gauge Fixing
The formation of monopoles and their condensation in the QCD ground state is a feature which is related to abelian gauge fixing, discussed in this...
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Light-Quark Dynamics
At low energies E ≪ M W , the interactions of leptons and hadrons are described by QCD + QED up to corrections of order...
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Introduction
The state of a physical system is the mathematical description of our knowledge of it, and provides information on its future and past. A state...
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2 Quantum Tomographic Methods
The state of a physical system is the mathematical object that provides a complete information on the system. The knowledge of the state is...
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9 Quantum Operations on Qubitsand Their Characterization
Information encoded in quantum system has to obey rules of quantum physics which impose strict bounds on state estimation and on possible...
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5 Galilei Invariant Elementary Particles
In this chapter we apply the general theory of symmetry actions as developed in Chaps. 2 and 3 to the Galilei groups of Chap. 4 splitting the...
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4 The Galilei Groups
In this chapter we describe the Galilei group and its universal central extension both in 3 + 1 and in 2 + 1 dimensions.
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A Appendix
This dictionary gives the definitions and the basic properties of most of the mathematical concepts that are freely used in the book. No references...
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6 Galilei Invariant Wave Equations
According to the results of the previous sections, a free elementary quantum object that is invariant under the Galilei group is described by an...
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3 The Symmetry Actions and Their Representations
This chapter is devoted to the study of the homomorphisms $G \ni...
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B Hilbert Space Average under Microcanonical Conditions
We consider a space with the Cartesian coordinates {η AB ab ,ξ AB...
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6 Outline of the Present Approach
As already indicated we want to derive the properties of thermodynamic quantities from non-relativistic quantum mechanics, i.e., from starting with a...