Geometric Algebra is a mathematical framework that unifies various branches of Mathematics, including Vector Algebra and Calculus, and provides a powerful tool for describing geometric relationships and transformations. Real Spinors and the Dirac-Hestenes equation are concepts within Geometric Algebra that are particularly relevant in the context of Physics, especially in the description of Quantum Mechanics and relativistic effects. In geometric algebra, Real Spinors are mathematical objects that represent spin angular momentum in a more elegant and intuitive manner compared to traditional Quantum Mechanics. They can be used to describe the intrinsic angular momentum of particles and are particularly useful for understanding rotations and transformations in space and space-time. The Dirac-Hestenes equation is an equation that arises from the application of geometric algebra to describe the behavior of particles with intrinsic spin in a relativistic context. It's a geometric reformulation of the Dirac equation, which is a fundamental equation in quantum mechanics that describes the behavior of massive particles with spin 1/2 and accounts for special relativity effects. The Dirac-Hestenes equation provides a more geometrically intuitive and elegant way to represent these concepts.

Spinori Reali ed Equazione di Dirac-Hestenes

LAZRAK, AYOUB
2022/2023

Abstract

Geometric Algebra is a mathematical framework that unifies various branches of Mathematics, including Vector Algebra and Calculus, and provides a powerful tool for describing geometric relationships and transformations. Real Spinors and the Dirac-Hestenes equation are concepts within Geometric Algebra that are particularly relevant in the context of Physics, especially in the description of Quantum Mechanics and relativistic effects. In geometric algebra, Real Spinors are mathematical objects that represent spin angular momentum in a more elegant and intuitive manner compared to traditional Quantum Mechanics. They can be used to describe the intrinsic angular momentum of particles and are particularly useful for understanding rotations and transformations in space and space-time. The Dirac-Hestenes equation is an equation that arises from the application of geometric algebra to describe the behavior of particles with intrinsic spin in a relativistic context. It's a geometric reformulation of the Dirac equation, which is a fundamental equation in quantum mechanics that describes the behavior of massive particles with spin 1/2 and accounts for special relativity effects. The Dirac-Hestenes equation provides a more geometrically intuitive and elegant way to represent these concepts.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14240/148831