Hidden symmetry in classical and quantum physics

In the present work I study spontaneous symmetry breaking. This interesting phenomenon is an important part of the elementary particle physics and thanks to it, it is possible to generate masses of fermions and gauge bosons in the Standard Model. However, in this work I try to present a more general view and I bring up a few examples from various parts of physics, starting with classical mechanics and ending with quantum eld theory. I also study consequences of spontaneous symmetry breaking and discuss dierences in manifestations of this phenomenon in theories with nite and innite number of freedom. This work is primarily meant as a consistent survey of already known results supplemented with their sueciently detailed technical derivation in a comprehensible form

Anomalies in quantum mechanics

Ústav částicové a jaderné fyzikyInstitute of Particle and Nuclear PhysicsFaculty of Mathematics and PhysicsMatematicko-fyzikální fakult

The Pierre Auger Observatory: Contributions to the 33rd International Cosmic Ray Conference (ICRC 2013)

Contributions of the Pierre Auger Collaboration to the 33rd International Cosmic Ray Conference, Rio de Janeiro, Brazil, July 201