Quantization of spinorial relativistic particle in 2+1 dimensions

Author(s)

Rodrigo Fresneda

• Document type: Master's Dissertation
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2003-08-18

Examining board members

Dmitri Maximovitch Guitman; Josif Frenkel; Jeferson de Lima Tomazelli

• Advisor: Dmitri Maximovitch Guitman

Abstract

We consider the quantization problem for a pseudoclassical model of a massive spin-1/2 relativistic particle in 2+1 dimensions on the backgroundof an arbitrary electromagnetic field. The presented quantization is a combination of the canonical and Dirac Schemes, since the model contains a first-class constraint which does not admit gauge-fixing. The presence of this constraint at the quantum level leads to an extension of the number of state-vector components in comparison with the 3+1 case. The constructed quantum mechanics describes both particles and antiparticles with positive energy levels, in accordance with quantum field theory. (AU)