The theory of solution for quantum field functional equations is developped for a suitable testproblem of quantum mechanics. In Sect. 1 the functional formulation of the anharmonic oscillator in its spinorial representation is given, and in Sect. 2 translational equivalent functional equations are discussed. The expansion of the physical state functionals into series of basefunctionals and the ...

Chiral Symmetry is important in a lot of situations. In this talk I will restrict myself to consequences of Chiral Symmetry for the strong interaction. The subject is very broad as can be judged from the lectures and review articles. In its modern form it was founded by Weinberg and Gasser and Leutwyler. I will discuss a few of the basics in sects. 2, 3, 4. The applications to ππ scattering (se...

This chapter first provides a formulation of the geometric path planning problem in Sect. 5.1 and then introduces sampling-based planning in Sect. 5.2. Sampling-based planners are general techniques applicable to a wide set of problems and have been successful in dealing with hard planning instances. For specific, often simpler, planning instances, alternative approaches exist and are presented...

This chapter first provides a formulation of the geometric path planning problem in Sect. 7.2 and then introduces sampling-based planning in Sect. 7.3. Sampling-based planners are general techniques applicable to a wide set of problems and have been successful in dealing with hard planning instances. For specific, often simpler, planning instances, alternative approaches exist and are presented...

BACKGROUND Dual energy CT (DECT) has proven its potential in oncological imaging. Considering the repeated follow-up examinations, radiation dose should not exceed conventional single energy CT (SECT). Comparison studies on the same scanner with a large number of patients, considering patient geometries and image quality, and exploiting full potential of SECT dose reduction are rare. Purpose of...

Chiral Symmetry is important in a lot of situations. In this talk I will restrict myself to consequences of Chiral Symmetry for the strong interaction. The subject is very broad as can be judged from the lectures and review articles. In its modern form it was founded by Weinberg and Gasser and Leutwyler. I will discuss a few of the basics in sects. 2, 3, 4. The applications to ππ scattering (se...