Ah, this is one of the deepest, most elegant concepts in all of physics. And group representation theory doesn't just apply to the physics of elementary particles -- it is widely pervasive.Andre' Quanta said:I need to study in detail the rappresentations of the Poincare Group, i am interessed in the idea that particles can be wieved as irriducible representations of it.
strangerep said:Ah, this is one of the deepest, most elegant concepts in all of physics. And group representation theory doesn't just apply to the physics of elementary particles -- it is widely pervasive.
Andre' Quanta said:I am at the last year of specialization in theoretical physics, i have also followed in detail a course in group theory and i need a serious reference in order to study in detail the rappresentations of the Poincarè group
You find a lot of material (including references) in Chapter B1: The Poincare group of my theoretical physics FAQ.Andre' Quanta said:i need a serious reference in order to study in detail the representations of the Poincarè group
The Poincare group is a mathematical concept that describes the symmetries of space and time. It includes rotations and translations in three-dimensional space, as well as boosts in the fourth dimension (time). It is named after the French mathematician Henri Poincare.
Representations of the Poincare group are mathematical ways of describing the symmetries of space and time. They can be thought of as different "pictures" or "views" of the Poincare group, with each representation emphasizing different aspects of its structure. In physics, these representations are used to describe the fundamental interactions between particles and fields.
Representations of the Poincare group are important because they provide a mathematical framework for understanding the fundamental symmetries of the universe. They are also crucial in the development of theories such as special and general relativity, quantum mechanics, and quantum field theory.
In physics, representations of the Poincare group are used to describe the symmetries of physical systems. They are used to classify particles and fields, and to understand the interactions between them. In addition, they play a key role in the formulation of theories such as special and general relativity, which rely heavily on the Poincare group's symmetries.
Yes, there are different types of representations of the Poincare group. The most commonly used ones are the Wigner and Bargmann representations, which are used in quantum mechanics and quantum field theory, respectively. Other representations, such as the spinor and vector representations, are also important in different areas of physics.