Working Seminar on Mathematical Physics of HSE University and Skoltech Krichever Center: Alexander Savchenko (Skoltech, HSE Univ.)
Event ended
Linearity of actions and bilinear relations for multicomponent fermionic operators
We start with an intro to fermionic operators and their correspondent vacuum states - the 'Dirac Sea'. Using their algebraic (anticommuting) relations, we prove a linearity of an algebraic and group-like adjoint actions - going through simple cases to more general.
As a result, we get concrete expressions of adjoint actions in the multi-component case. For example, showing that for a row and column consisting of fermions, the actions turn out to be the opposite of each other.
This fact induces the bilinear relation for fermionic operators, satisfied by group-like elements made up from fermions, which completes the report
Date
24 April
16:20
Address
room 110, the Faculty of Mathematics (6 Usacheva str.)