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captain
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are spinors just wavefunctions in the dirac field?
jostpuur said:I'm been mostly in a belief, that spinors are just vectors, and the name "spinor" is used to emphasize their transformation properties. Altough the Wikipedia seems to have lot more to say http://en.wikipedia.org/wiki/Spinor
I don't think that "function in a field" means anything, unless you can explain what you meant with it in more detail.
captain said:are spinors just wavefunctions in the dirac field?
captain said:are spinors just wavefunctions in the dirac field?
Spinors are mathematical objects that represent the intrinsic angular momentum, or spin, of a particle in quantum mechanics.
The Dirac field is a quantum field that describes the behavior of spin-1/2 particles, such as electrons, in relativistic quantum mechanics.
No, spinors and wavefunctions are different mathematical objects. While both can be used to describe the quantum state of a particle, they have different properties and behave differently under certain transformations.
Spinors are important because they play a crucial role in our understanding of the fundamental particles and forces in the universe. They also have important applications in fields such as particle physics, quantum computing, and condensed matter physics.
The Dirac equation is a relativistic wave equation that describes the behavior of spin-1/2 particles. Spinors are the mathematical objects that satisfy this equation, and therefore are intimately related to the Dirac field and its applications.