Relativistic Quantum Mechanics
... The aim of this chapter is to introduce and explore some of the simplest aspects of relativistic quantum mechanics. Out of this analysis will emerge the KleinGordon and Dirac equations, and the concept of quantum mechanical spin. This introduction prepares the way for the construction of relativisti ...
... The aim of this chapter is to introduce and explore some of the simplest aspects of relativistic quantum mechanics. Out of this analysis will emerge the KleinGordon and Dirac equations, and the concept of quantum mechanical spin. This introduction prepares the way for the construction of relativisti ...
Lecture 1 Describing Inverse Problems
... If some model parameter mi in mE has a corresponding negative gradient, then the solution can be changed to decrease the prediction error. To change the solution, we select the model parameter corresponding to the most negative gradient and move it to the set mS. All the model parameters in mS are n ...
... If some model parameter mi in mE has a corresponding negative gradient, then the solution can be changed to decrease the prediction error. To change the solution, we select the model parameter corresponding to the most negative gradient and move it to the set mS. All the model parameters in mS are n ...
Theoretische und Mathematische Grundlagen der Physik
... Crumpling a sheet of paper leads to the formation of complex folding patterns over several length scales. This can be understood on the basis of the interplay of a nonconvex elastic energy, which penalizes local stretching, and a small singular perturbation, which penalizes high curvature. We obtain ...
... Crumpling a sheet of paper leads to the formation of complex folding patterns over several length scales. This can be understood on the basis of the interplay of a nonconvex elastic energy, which penalizes local stretching, and a small singular perturbation, which penalizes high curvature. We obtain ...
Acrobat PDF - Electronic Journal of Theoretical Physics
... constants which characterize the effective action of the theory. The price paid is the introduction of a set of never-ending higher order derivative couplings into the theory, unless using the approach of Shiekh [29]. The effective action contains all terms consistent with the underlying symmetries of ...
... constants which characterize the effective action of the theory. The price paid is the introduction of a set of never-ending higher order derivative couplings into the theory, unless using the approach of Shiekh [29]. The effective action contains all terms consistent with the underlying symmetries of ...
Asymptotics of Some Nonlinear Eigenvalue Problems for a
... change of variables ρ = (r − δ)/(1 − δ). Then (1.5) transforms to d2 u ...
... change of variables ρ = (r − δ)/(1 − δ). Then (1.5) transforms to d2 u ...
Renormalization group running of Newton`s constant G: The static
... derive, from first principles, the values of Newton’s constant and the cosmological constant, are placed unrealistically high. After all, in other well understood quantum field theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling re ...
... derive, from first principles, the values of Newton’s constant and the cosmological constant, are placed unrealistically high. After all, in other well understood quantum field theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling re ...