English

Introducci\'on a la supersimetr\'ia

Mathematical Physics 2012-05-07 v1 math.MP

Abstract

These notes are an elementary introduction to supersymmetric quantum mechanics for students of mathematics. We start from the very basic concepts of quantum mechanics and proceed to construct a realization of Heisenberg's superalgebra as a subalgebra of the graded algebra of endomorphisms of a certain supervector space (obtaining thus an example of Ado's theorem for Lie superalgebras), using Witten's model of supersymmetric quantum mechanics. The notes were written for a graduate seminar at the Universidad Aut\'onoma de San Luis Potos\'i.

Keywords

Cite

@article{arxiv.1205.0863,
  title  = {Introducci\'on a la supersimetr\'ia},
  author = {José A. Vallejo},
  journal= {arXiv preprint arXiv:1205.0863},
  year   = {2012}
}

Comments

Notes for a course on quantum mechanics for students of mathematics, in Spanish

R2 v1 2026-06-21T20:58:30.489Z