Supersimetria e mecânica quântica
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Data
2022-02-10
Autores
Moreira, Leonardo Rodrigues
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Editor
Universidade Estadual Paulista (Unesp)
Resumo
Nesse trabalho foi feito um estudo sobre a Supersimetria e o Modelo Padrão Supersimetrico Mínimo. O intuito foi entender mais sobre os conceitos e fundamentações que os envolvem, compreender suas propriedades, e visualizar determinadas aplicações na Física em geral. Para isso foi feita uma breve abordagem histórica da supersimetria, contando dos primeiros trabalhos envolvendo o assunto. Em seguida foi explicado conceitos fundamentais para o entendimento e elaboração da supersimetria. Foi abordada a relação do spin com o momento de dipolo magnético orbital e o experimento que levou a sua descoberta. Foi feita uma descrição dos spinors, sua relação com a Transformação de Lorentz e a origem dos férmions de Majorana. Foi então apresentado as propriedades da Lagrangiana Supersimetrica Simples para então chegar na descrição do Modelo Padrão Supersimetrico Mínimo. Por último foi apresentado as ideias do Espaço de Estado Geral do SUSY e a aplicação da supersimetria em osciladores harmônicos.
In this study, we gave a brief ap Supersymmetry and the Minimal Supersymmetric Standard Model. The aim was to understand more about the concepts and foundations that involve this ideas, understand their properties, and visualize certain applications in Physics in general. To start, a brief historical summary on supersymmetry was made, recounting on the first works involving the subject. After that, fundamental concepts for the understanding supersymmetry were explained. The relationship between spin and the orbital magnetic dipole moment and the experiment that led to its discovery were discussed. A description of the spinors, their relationship with the Lorentz Transformation and the origin of Majorana fermions was made. The properties of the Simple Supersymmetric Lagrangian were then presented to finally arrive at the description of the Minimal Supersymmetric Standard Model. Finally, the ideas of the SUSY General State Space and the application of supersymmetry in harmonic oscillators were presented.
In this study, we gave a brief ap Supersymmetry and the Minimal Supersymmetric Standard Model. The aim was to understand more about the concepts and foundations that involve this ideas, understand their properties, and visualize certain applications in Physics in general. To start, a brief historical summary on supersymmetry was made, recounting on the first works involving the subject. After that, fundamental concepts for the understanding supersymmetry were explained. The relationship between spin and the orbital magnetic dipole moment and the experiment that led to its discovery were discussed. A description of the spinors, their relationship with the Lorentz Transformation and the origin of Majorana fermions was made. The properties of the Simple Supersymmetric Lagrangian were then presented to finally arrive at the description of the Minimal Supersymmetric Standard Model. Finally, the ideas of the SUSY General State Space and the application of supersymmetry in harmonic oscillators were presented.
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Palavras-chave
Supersimetria, MSSM, Mecânica quântica, Quantum mechanics, Supersymmetry